• The Mind-Created World
    According to his logic, people conceiving a baby is somehow an instance of the Universal Mind disassociating from itself thereby creating an alter.Bob Ross

    Given that cosmic consciousness is likely to be viewed as wildly implausible by many people, what in particular about this aspect of it is particularly implausible? It jibes with the ancient tropes of the descent of the soul.
  • In defence of the Principle of Sufficient Reason
    The question again: can you stipulate some thing which is neither temporally delimited nor composed of parts? I suggest not.

    either there is a foundation, or there's a vicious infinite regress of ever-deeper layers of reality - which I reject.Relativist

    So you acknowledge that science can’t say what the foundation is, but you nevertheless claim, presumably as an act of faith, that if there is a foundation, then it must be material in nature.

    At some stage in history materialism might have been able to claim that the atom was imperishable and eternal - which was, after all, the basis of materialism in Greek philosophy - but that is no longer considered feasible. Fundamental particles, so-called, have an intrinsically ambiguous nature, and they seem to be at bottom to be best conceived as an excitation of fields, however fields might be conceived.

    I personally reject deism because it depends on an infinitely complex intelligence, with magical knowledge, just happening to exist by brute fact.Relativist

    That’s a Richard Dawkins argument - that whatever constructs must be more complex than what is constructed by it. But in the classical tradition, God is not complex at all, but is simple. And the best analogy I can think of for that is - you! Your body comprises billions upon billions of cells, the brain is the most complex natural phenomenon known to science with more neural connections than stars in the sky (or so I once read). And yet, you yourself are a simple unity. That, I think is the meaning (or one meaning) of ‘imago dei’.
  • The Lament of a Spiritual Atheist
    However, if the adage “magic is science we don’t understand yet” is true, then the reverse may also be true: that science is magic that we do understand.MrLiminal

    I think I can safely say that nobody understands quantum mechanics. — Richard Feynman, Nobel Laureate in Physics

    And yet, these devices we’re using to read and write these ideas depend on it!

    :up:
  • Mathematical platonism
    ”Intellectus is the higher, so that if we call it ' understanding', the Coleridgean distinction which puts 'reason' above ' understanding' inverts the traditional order. Boethius, it will be remembered, distinguishes intelligentia from ratio; the former being enjoyed in its perfection by angels”Count Timothy von Icarus

    Intellectus is the Latin term adopted by Roman philosophers like Cicero and later by medieval Scholastics to translate nous from Greek philosophical texts. It similarly denotes the capacity for intellectual intuition or understanding of universal principles. Nous (and therefore Intellectus) is a key term for the higher faculty of the soul, distinct from reason (ratio), which operates discursively. … In the Aristotelian scheme, nous is the faculty that underwrites the capacity of reason. For Aristotle, nous was distinct from the processing of sensory perception, including the use of imagination and memory, which animals can do. For Aristotle, discussion of nous is connected to discussion of how the human mind sets definitions in a consistent and communicable way (through the grasp of universals) and whether people must be born with some innate potential to understand the same universal categories in the same logical ways. Derived from this it was also sometimes argued, in classical and medieval philosophy, that the individual nous must require help of a spiritual and divine type. By this type of account, it also came to be argued that the human understanding (nous) somehow stems from this cosmic nous, which is however not just a recipient of order, but a creator of it. — various sources including Wikipedia
  • In defence of the Principle of Sufficient Reason
    Subjects of experience are not things, which is why treating subjects as things is generally considered inappropriate. And why personal pronouns are used for subjects and not for objects (‘it’, ‘that’).

    Your hypothetical material ontological foundation is also something that science had not been able to show exists albeit on different grounds. What would be an example of a thing which has no beginning and end in time and is not composed of parts?
  • In defence of the Principle of Sufficient Reason
    I’ve not been arguing for God. At issue was your remark that at least one thing existed before Creation. I objected that God is not a thing - for that matter, nor are you - and does not exist in the sense that things exist.
  • The Blind Spot of Science and the Neglect of Lived Experience
    If you said something relevant to the passage above - the actual argument - then I might respond.
  • In defence of the Principle of Sufficient Reason
    Notice that ‘not a thing’ and ‘no thing’ is not the same as ‘nothing’. Thinking of God as an existent flattens out the ontological question. Read some of the refs I gave.
  • In defence of the Principle of Sufficient Reason
    'God' is not the concept of nothing.Clearbury

    Being 'beyond conception' is not 'a concept of nothing'. You proclaim that you speak for Christians, when you yourself say that you're not one, and then declare what you consider to be conceivable the criteria for what they ought to believe.
  • Mathematical platonism
    Which of course leads into the discussion of what is to count as a justification...Banno

    How, pray tell, did we get from a brief comment about Bohr and Heisenberg, first to 'the ineffable', and then 'religious fundamentalism'?

    It reinforces the earlier point I keep making - mere mention of the Platonic intuition that 'ideas are real' just automatically pushes these buttons. Everyone involved in this conversation ought to be aware of that. it's cultural conditioning, pure and simple.

    The way it must be constructed to satisfy physicalism, is to say that ideas are the product of brains, which are the product of evolution, which is the product of the interaction of physical forces. To question that, is to be called a fundamentalist, because it is itself a kind of disguised fundamentalism.

    Physics is the question of what matter is. Metaphysics is the question of what is real. People of a rational, scientific bent tend to think that the two are coextensive—that everything is physical. Many who think differently are inspired by religion to posit the existence of God and souls; Nagel affirms that he’s an atheist, but he also asserts that there’s an entirely different realm of non-physical stuff that exists—namely, mental stuff. The vast flow of perceptions, ideas, and emotions that arise in each human mind is something that, in his view, actually exists as something other than merely the electrical firings in the brain that gives rise to them—and exists as surely as a brain, a chair, an atom, or a gamma ray.

    In other words, even if it were possible to map out the exact pattern of brain waves that give rise to a person’s momentary complex of awareness, that mapping would only explain the physical correlate of these experiences, but it wouldn’t be them. A person doesn’t experience patterns, and her experiences are as irreducibly real as her brain waves are, and different from them.

    Nagel offers mental activity as a special realm of being and life as a special condition—in the same way that biology is a special realm of science, distinct from physics. His argument is that, if the mental things arising from the minds of living things are a distinct realm of existence, then strictly physical theories about the origins of life, such as Darwinian theory, cannot be entirely correct. Life cannot have arisen solely from a primordial chemical reaction, and the process of natural selection cannot account for the creation of the realm of mind.
    Thoughts are Real (Review of Nagel, Mind and Cosmos)

    Back to the Third Realm.
  • In defence of the Principle of Sufficient Reason
    It means the act of creating something out of materials that did not previously exist. The creator already exists.Clearbury

    See the post above as to why God does not exist. I am 'engaging with something', namely, what I think is an erroneous conception of God. Consideration of the question of the divine nature takes something more than common assumptions as to 'what exists.' Note that I'm not defending belief in God, but simply outlining what 'creation ex nihilo' means, as I understand it. For a more formal, Catholic explanation, you will need to read some materials, for example Aquinas vs Intelligent Design:

    The Greek natural philosophers were quite correct in saying that from nothing, nothing comes. But by “comes” they meant a change from one state to another, which requires some underlying material reality. It also requires some pre-existing possibility for that change, a possibility that resides in something.

    Creation, on the other hand, is the radical causing of the whole existence of whatever exists. To be the complete cause of something’s existence is not the same as producing a change in something. It is not a matter of taking something and making it into something else, as if there were some primordial matter which God had to use to create the universe. Rather, Creation is the result of the divine agency being totally responsible for the production, all at once and completely, of the whole of the universe, with all it entities and all its operations, from absolutely nothing pre-existing.

    Strictly speaking, points out Aquinas, the Creator does not create something out of nothing in the sense of taking some nothing and making something out of it. This is a conceptual mistake, for it treats nothing as a something. On the contrary, the Christian doctrine of Creation ex nihilo claims that God made the universe without making it out of anything. In other words, anything left entirely to itself, completely separated from the cause of its existence, would not exist—it would be absolutely nothing. The ultimate cause of the existence of anything and everything is God who creates—not out of some nothing, but from nothing at all.

    If there is a God, then it exists.Relativist

    This is a very limited conception of existence. That's why I referred before to Terrence Deacon's 'absentials' from the book Incomplete Nature. He shows in great detail why things that don't actually exist - 'absentials' - are actually foundational in the doings of life and mind.

    A materialist ontological foundation would also exist at all times- it being the basis for everything else that exists.Relativist

    That's because, as I explained in a previous conversation, materialist ontologies such as D M Armstrong's, are essentially derived from the theistic ontology which preceded them, with science assigned the role previously assigned to religion and scientific laws mapped against what was previously divine commandments. Karen Armstrong's book A Case for God spells out the historical precedents for that.

    God manages to possess knowledge with no such encoding- it just exists magically.Relativist

    Foolishness to the Greeks!
  • In defence of the Principle of Sufficient Reason
    I do not think that argument is sound, but we should at least be clear about what it is.Clearbury

    You're not.
  • Mathematical platonism
    Another thing. Earlier in this thread, I linked to the Smithsonian Mag article on this topic, 'What is Math?' There was a statement made in that essay:

    Platonism, as mathematician Brian Davies has put it, “has more in common with mystical religions than it does with modern science.” The fear is that if mathematicians give Plato an inch, he’ll take a mile. If the truth of mathematical statements can be confirmed just by thinking about them, then why not ethical problems, or even religious questions? Why bother with empiricism at all?

    Massimo Pigliucci, a philosopher at the City University of New York, was initially attracted to Platonism—but has since come to see it as problematic. If something doesn’t have a physical existence, he asks, then what kind of existence could it possibly have? “If one ‘goes Platonic’ with math,” writes Pigliucci, empiricism “goes out the window.” (If the proof of the Pythagorean theorem exists outside of space and time, why not the “golden rule,” or even the divinity of Jesus Christ?)

    Notice that question from Pigliucci - 'what kind of existence does it have?' That's the underlying question in this whole topic. That, and the reflexive association with intelligible objects and religious belief. It's because it's a metaphysical issue, and the metaphysics is hard to reconcile with naturalism. Which is why I keep going back to Platonism (not that I'm any kind of expert in it) - because it allows for levels of knowing and being, and hierarchical ontology. (And this also is being brought up to date e.g. Vervaeke's reconstitution of neoplatonism.)

    As far as quantum physics is concerned, one simple point is that made by both Bohr and Heisenberg - physics reveals nature as exposed to our method of question, not as she is in herself. That leaves ample breathing-room for philosophy.
  • Mathematical platonism
    I've sometimes observed that the last aphorism in Wittgenstein's Tractatus ('that of which we cannot speak') is often used as a firewall against metaphysics. That is certainly how the Vienna Circle understood and deployed it. But if something can't be said, it might be important to say why and surely philosophy has a role to play there.
  • The Blind Spot of Science and the Neglect of Lived Experience
    Our account of the Blind Spot is based on the work of two major philosophers and mathematicians, Edmund Husserl and Alfred North Whitehead. Husserl, the German thinker who founded the philosophical movement of phenomenology, argued that lived experience is the source of science. It’s absurd, in principle, to think that science can step outside it. The ‘life-world’ of human experience is the ‘grounding soil’ of science, and the existential and spiritual crisis of modern scientific culture – what we are calling the Blind Spot – comes from forgetting its primacy.

    Whitehead, who taught at Harvard University from the 1920s, argued that science relies on a faith in the order of nature that can’t be justified by logic. That faith rests directly on our immediate experience. Whitehead’s so-called process philosophy is based on a rejection of the ‘bifurcation of nature’, which divides immediate experience into the dichotomies of mind versus body, and perception versus reality. Instead, he argued that what we call ‘reality’ is made up of evolving processes that are equally physical and experiential.

    Nowhere is the materialistic bias in science more apparent than quantum physics, the science of atoms and subatomic particles. Atoms, conceived as the building blocks of matter, have been with us since the Greeks. The discoveries of the past 100 years would seem to be a vindication for all those who have argued for an atomist, and reductionist, conception of nature. But what the Greeks, Isaac Newton and 19th-century scientists meant by the thing called an ‘atom’, and what we mean today, are very different. In fact, it’s the very notion of a ‘thing’ that quantum mechanics calls into question.

    The classic model for bits of matter involves little billiard balls, clumping together and jostling around in various forms and states. In quantum mechanics, however, matter has the characteristics of both particles and waves. There are also limits to the precision with which measurements can be made, and measurements seem to disturb the reality that experimenters are trying to size up.

    Today, interpretations of quantum mechanics disagree about what matter is, and what our role is with respect to it. These differences concern the so-called ‘measurement problem’: how the wave function of the electron reduces from a superposition of several states to a single state upon observation. For several schools of thought, quantum physics doesn’t give us access to the way the world fundamentally is in itself. Rather, it only lets us grasp how matter behaves in relation to our interactions with it.
    The Blind Spot of Science and the Neglect of Lived Experience
  • Mathematical platonism
    they only exist as particles under specific conditions of measurement. Otherwise, their existence is uncertain or indeterminate.
  • In defence of the Principle of Sufficient Reason
    There is nothing "necessary" about 2 + 2 = 4. In fact this depends on a number of more basic assumptions (axioms).EricH

    All due respect, that is a red herring. It is not necessary to understand set theory to understand such basic facts as 2+2=4, they are logically necessary within arithmetic. Also consider the context in which i said it, as a simple analogy for the redundancy of the question 'why does God exist?' or 'who made God'? Necessary truths—whether mathematical or metaphysical—are not contingent on external causes or axioms but are self-existent by nature. Which is not to say that this proves anything about the reality of God, it is simply a logical point.


    It assumes God pre-exists matter, but God is something.Relativist

    But that is not so. God is not some thing, or for that matter any thing. Quite why is very hard to explain to those without any grounding in philosophical theology, and I myself only have a sketchy understanding of the subject. That is why I linked to the article, God does not Exist by Bishop Pierre Whalon. He points out that to say that God exists reduces God to another existent, merely something else in the Universe.

    In broad philosophical terms, whatever exists has a beginning and an end in time, and is composed of parts. This applies to every phenomenal existent. However, God has no beginning and end in time, and is not composed of parts, and so does not exist, but is the reality which grounds existence.

    This is also associated with Paul Tillich who was often accused of sailing close to atheism by many believers (link. But there are precedents back to the origin of the Christian religion, in apophatic theology, in which nothing whatever can be said about God, as God is beyond affirmation or denial. Likewise in various existentialist theologies, such as Gabriel Marcel (ref.)

    This is why so many internet debates about God's existence are pointless and uncomprehending. They're what I would call 'straw God arguments'.
  • An Analysis of "On Certainty"
    +1. Succinct yet comprehensive.
  • Mythology, Religion, Anthopology and Science: What Makes Sense, or not, Philosophically?
    To understand the development, one has to understand the intuitive rationality of animism, and the counterintuitive nature of the modern, dead world. One has to disabuse oneself of modernity.unenlightened

    Found that quote:

    The tremendously enlarged universe of modern cosmology is conceived as a field of inanimate masses and forces which operate according to the laws of inertia and of quantitative distribution in space. This denuded substratum of all reality could only be arrived at through a progressive expurgation of vital features from the physical record and through strict abstention from projecting into its image our own felt aliveness. In the process the ban on anthropomorphism was extended to zoomorphism in general. What remained is the residue of the reduction toward the properties of mere extension which submit to measurement and hence to mathematics. These properties alone satisfy the requirements of what is now called exact knowledge: and representing the only knowable aspect of nature they, by a tempting substitution, came to be regarded as its essential aspect too: and if this, then as the only real in reality.

    This means that the lifeless has become the knowable par excellence and is for that reason also considered the true and only foundation of reality. It is the "natural" as well as the original state of things. Not only in terms of relative quantity but also in terms of ontological genuineness, nonlife is the rule, life the puzzling exception in physical existence.

    Accordingly, it is the existence of life within a mechanical universe which now calls for an explanation, and explanation has to be in terms of the lifeless. Left over as a borderline case in the homogeneous physical world-view, life has to be accounted for in the terms of that view.
    — Hans Jonas, The Phenomenon of Life:Towards a Philosophy of Biology
  • The Blind Spot of Science and the Neglect of Lived Experience

    Adam Frank is one of the three authors of The Blind Spot of Science (the others being Evan Thompson and Marcello Gleiser.) I love what he has to say about quantum mechanics, Qbism and the centrality of the Born Rule.
  • In defence of the Principle of Sufficient Reason
    Something cannot come from nothing.Clearbury

    That is precisely what 'creation ex nihilo' means.

    if something can come from nothing then there is no need to posit God.Clearbury

    On the contrary, according to Christian doctrine, only God can create something from nothing.


    I don't think you're interpreting what the OP means correctly, but I won't speak for him/her so I'll leave the thread to the OP.
  • Mathematical platonism
    You'd probably like Between Naturalism and Religion (2008)J

    I bet, looks right up my street, thanks for it.

    Lots to be said about Nagel and religion. Is he really open to religious belief?J

    I sometimes wonder if he's being dragged kicking and screaming......

    He wasn't there again today. Oh, how I wish he'd go away.Banno

    Fine! I have realised the link between Terrence Deacon's absentials and the via negativa. Anyway, as you say, enough for today, thanks all for the comments :pray:
  • Mathematical platonism
    Here we are talking about Mathematics, and he must introduce god, but not in so many words. Moreover, he sees any objection to this unneeded insertion as further evidence of a supposed scientistic fear of religion.Banno

    A very shallow analysis, Banno, although easy to stereotype, which is what you're doing. There's an excellent book mentioned by me and others from time to time, The Theological Origins of Modernity, Michael Allen Gillespie, 2009, which I read when first joining forums, and which gives the deep background to these disputes.

    … the apparent rejection or disappearance of religion and theology in fact conceals the continuing relevance of theological issues and commitments for the modern age. Viewed from this perspective, the process of secularization or disenchantment that has come to be seen as identical with modernity was in fact something different than it seemed, not the crushing victory of reason over infamy, to use Voltaire’s famous term, not the long drawn out death of God that Nietzsche proclaimed, and not the evermore distant withdrawal of the deus absconditus Heidegger points to, but the gradual transference of divine attributes to human beings (an infinite human will), the natural world (universal mechanical causality), social forces (the general will, the hidden hand), and history (the idea of progress, dialectical development, the cunning of reason). …Reader Review

    A background which is transparently clear in many of your comments.

    @Count Timothy von Icarus already referred to the Analogy of the Divided Line upthread, in that, there is an hierarchical ontology, meaning different levels of being or existence. Which has what has been 'flattened out' by modern ontology, and why the ontology of abstract objects is so difficult to account for.
  • Mathematical platonism
    Perhaps not - but it's a metaphysical question, and insofar as metaphysics is usually associated with religion, rightly or not, it ends up being tarred with the same brush.
  • Mathematical platonism
    Mathematical platonism, otherwise known as realism, is just the view that mathematical objects are neither mental nor physical. We call them abstract objects. That's it. There's no accompanying doctrine.frank

    However it presents an obvious ontological question. As SEP puts it, and as I'm sure I've previously quoted:

    Mathematical platonism has considerable philosophical significance. If the view is true, it will put great pressure on the physicalist idea that reality is exhausted by the physical. For platonism entails that reality extends far beyond the physical world and includes objects that aren’t part of the causal and spatiotemporal order studied by the physical sciences.[1] Mathematical platonism, if true, will also put great pressure on many naturalistic theories of knowledge. For there is little doubt that we possess mathematical knowledge. The truth of mathematical platonism would therefore establish that we have knowledge of abstract (and thus causally inefficacious) objects. This would be an important discovery, which many naturalistic theories of knowledge would struggle to accommodate.

    Although these philosophical consequences are not unique to mathematical platonism, this particular form of platonism is unusually well suited to support such consequences. For mathematics is a remarkably successful discipline, both in its own right and as a tool for other sciences.[2] Few contemporary analytic philosophers are willing to contradict any of the core claims of a discipline whose scientific credentials are as strong as those of mathematics (Lewis 1991, pp. 57–9). So if philosophical analysis revealed mathematics to have some strange and surprising consequences, it would be unattractive simply to reject mathematics.[3] A form of Platonism based on a discipline whose scientific credentials are less impressive than those of mathematics would not be in this fortunate situation. For instance, when theology turns out to have some strange and surprising philosophical consequences, many philosophers do not hesitate to reject the relevant parts of theology.
  • Mathematical platonism
    articulates a position that I think is broadly correct, but you can hold it and still be an atheist to the core.J

    Well, Nagel says he is. But he's philosophically open to a somewhat religious perspective, the idea expressed in Mind and Cosmos of rational sentient beings as the universe coming to self-awareness. That is a theme that animates many kind-of religious philosophies, like Hermeticism. Besides, I think the missing dimension is not the idea of God, but to the entire category of the sacred.

    I did register that Habermas was still with us. He has a massive corpus which again I've barely touched, but I came across his dialogue with then Cardinal Ratzinger. Whilst I am not Catholic, and find much that is disagreeable about that institution, Catholicism is still arguably one of the conduits through which a form of the philosophia perennis has been preserved and transmitted. In my recent (2022) trip to Florence, I was impressed by the frescos showing Aquinas laying down the lore to the assembled gathering of philosophers.

    Triumph-of-St-Thomas-Aquinas-personifications-Doctors.jpg?w=300
    Spanish Chapel of the Church of Santa Maria Novella, Florence.
  • Mathematical platonism
    Well, Frege is a modern representative of it, but it really does go back to the ancients:

    Neoplatonic mathematics is governed by a fundamental distinction which is indeed inherent in Greek science in general, but is here most strongly formulated. According to this distinction, one branch of mathematics participates in the contemplation of that which is in no way subject to change, or to becoming and passing away. This branch contemplates that which is always such as it is and which alone is capable of being known: for that which is known in the act of knowing, being a communicable and teachable possession, must be something that is once and for all fixed — Jacob Klein, Greek Mathematical Thought and the Origin of Algebra

    That is a common thread throughout practically all pre-modern philosophy.
  • Mathematical platonism
    History of philosophy isn't my forte, and I defer to Nagel on this, though it does seem a little oversimplified?J

    Not at all. History of ideas is very much my interest - more so that what is taught as philosophy nowadays - and I see the issue in terms of the cultural dialectics sorrounding philosophy, religion and science. The major point I take from it, aside from the often-quoted passage about the fear of religion, which really is a major underlying factor in my view, the bulk of the essay is a defense of reason against attempts to explain it as a product of evolution. The main argument being, to say that it is, is to undermine the sovereignty of reason:

    The only form that genuine reasoning can take consists in seeing the validity of the arguments, in virtue of what they say. As soon as one tries to step outside of such thoughts, one loses contact with their true content. And one cannot be outside and inside them at the same time: If one thinks in logic, one cannot simultaneously regard those thoughts as mere psychological dispositions, however caused or however biologically grounded. If one decides that some of one's psychological dispositions are, as a contingent matter of fact, reliable methods of reaching the truth (as one may with perception, for example), then in doing so one must rely on other thoughts that one actually thinks, without regarding them as mere dispositions. One cannot embed all one's reasoning in a psychological theory, including the reasonings that have led to that psychological theory. The epistemological buck must stop somewhere. By this I mean not that there must be some premises that are forever unrevisable but, rather, that in any process of reasoning or argument there must be some thoughts that one simply thinks from the inside--rather than thinking of them as biologically programmed dispositions. — Thomas Nagel op cit

    Whereas I'm pretty confident the majority opinion is that reason can only be understood in terms of evolutionary development, because what else is there?

    There's also been discussion of another book from time to time, The Eclipse of Reason, Max Horkheimer, which makes the case that the sovereignty of reason as understood in classical philosophy has been progressively subsumed by instrumentalism and pragamatism - the utilitarian ends to which reason can be directed. In fact the whole conception of reason changed with the scientific revolution (per Alexander Koyré). It is no longer understood as a cosmic animating principle, but as a human invention (numbers are invented not discovered). That's what I mean by the relativising of reason (reference).

    So - they're the themes I'm exploring. But I agree that it is a different to the subject matter to philosophy per se.

    Links of interest:

    Does Reason Know what it is Missing? - on Habermas' dialogue with Catholicism.

    Join the Ur-Platonist Alliance! - Edward Feser on Lloyd Gerson
  • The Mind-Created World
    How is sex an external representation of a mind disassociating with itself?Bob Ross

    From that comment, I think you have an incorrect picture of what Kastrup means by 'dissociated alter'. From a glossary entry on Bernardo Kastrup's terminology:

    In Bernardo Kastrup’s framework, dissociated alters are conceptualized as individual living organisms, including humans, which are distinct expressions or manifestations of a single, overarching cosmic consciousness. According to this idealist ontology, there exists only one cosmic consciousness, and all living beings are dissociated alters of this consciousness. These alters are surrounded by the thoughts of cosmic consciousness, and the inanimate world we perceive is the extrinsic appearance of these thoughts. Living organisms, including humans, are the extrinsic appearances of other dissociated alters. This framework suggests that our subjective experiences and perceptions are localized within these dissociated alters, which are essentially segments of the broader cosmic consciousness.

    This plainly bears comparision with the Plotinus' philosophy of 'the One' as well as with Advaita Vedanta. For a detailed account, see The Universe in Consciousness.
  • Mathematical platonism
    On a more serious note, there's an excellent current text available online which provides a succint and accurate account of the Platonic forms - Eric S Perl, Thinking Being - Introduction to Metaphysics in the Classical Tradition (.pdf). The chapter on Reading Plato. As it is directly relevant to the OP, I'll quote one passage at length.

    Is there such a thing as health? Of course there is. Can you see it? Of course not. This does not mean that the forms are occult entities floating ‘somewhere else’ in ‘another world,’ a ‘Platonic heaven.’ It simply says that the intelligible identities which are the reality, the whatness, of things (such as "health") are not themselves physical things to be perceived by the senses, but must be grasped by thought.

    It is in this sense, too, that Plato’s references to the forms as ‘patterns’ or ‘paradigms’, of which instances are ‘images,’ must be understood. All too often, ‘paradigm’ is taken to mean ‘model to be copied.’ The following has been offered as an example of this meaning of παράδειγμα (parádeigma) in classical Greek: “[T]he architect of a temple requiring, say, twenty-four Corinthian capitals would have one made to his own specifications, then instruct his masons to produce twenty-three more just like it.” Such a model is itself one of the instances: when we have the original and the twenty-three copies, we have twenty-four capitals of the same kind. It is the interpretation of forms as paradigms in this sense that leads to the ‘third man argument’ by regarding the form as another instance and the remaining instances as ‘copies’ of the form. This interpretation of Plato’s ‘paradigmatism’ reflects a pictorial imagination of the forms as, so to speak, higher-order sensibles located in ‘another world,’ rather than as the very intelligible identities, the whatnesses, of sensible things.

    But forms cannot be paradigms in this sense. Just as the intelligible ‘look’ that is common to many things of the same kind, a form, as we have seen, is not an additional thing of that kind. Likewise, it makes no sense to say that a body, a physical, sensible thing, is a copy, in the sense of a replica or duplicate, of an intelligible idea. Indeed, Plato expressly distinguishes between a copy and an image: “Would there be two things, that is, Cratylus and an image of Cratylus, if some God copied not only your color and shape, as painters do, but also … all the things you have?
    — Eric D Perl Thinking Being, p31 ff

    I say that 'forms' are much more like 'intelligible principles' than what they are often confused for, which is a kind of ethereal shape. I think much of the dismissal of them is based on centuries of poor schoolroom teaching by those who really hadn't grasped that fact. But there are contemporary sources, such as Rebecca Goldstein's Plato at the Googleplex, and Iris Murdoch's Sovereignty of the Good, which provide a much more nuanced account of their continuing relevance.
  • Mathematical platonism
    Oh, so you don't know what it is, but you do know it's a fantasy.
  • Mathematical platonism
    a platonic realmBanno

    What do you think that might comprise? An ethereal palace, replete with ideal dogs and cats?
  • Mathematical platonism
    The key difference between Frege and Popper here is...whether the 3rd realm exists independently of human thought, or is created by our thought. If Burge is right, then there's no doubt what Frege believed: complete independence. Popper stakes out a middle groundJ

    Compare:

    Frege believed that number is real in the sense that it is quite independent of thought: 'thought content exists independently of thinking "in the same way", he says "that a pencil exists independently of grasping it. Thought contents are true and bear their relations to one another (and presumably to what they are about) independently of anyone's thinking these thought contents - "just as a planet, even before anyone saw it, was in interaction with other planets." ' Furthermore in The Basic Laws of Arithmetic he says that 'the laws of truth are authoritative because of their timelessness: they "are boundary stones set in an eternal foundation, which our thought can overflow, but never displace. It is because of this, that they authority for our thought if it would attain to truth." — Tyler Burge

    Intelligible objects must be independent of particular minds because they are common to all who think. In coming to grasp them, an individual mind does not alter them in any way, it cannot convert them into its exclusive possessions or transform them into parts of itself. Moreover, the mind discovers them rather than forming or constructing them, and its grasp of them can be more or less adequate. Augustine concludes from these observations that intelligible objects must exist independently of individual human minds.Cambridge Companion to Augustine

    Plainly Augustine has theological commitments that Frege lacks, but nevertheless the Platonist elements they have in common are significant. Augustine adds that reason is: “a kind of head or eye of our soul ... which does not belong to the nature of animals” (lib. arb. 2.6.13).11", clearly a reference to the tripartite soul of Plato, in which reason is a governing faculty, responsible for wisdom and seeking truth. Frege's notion that logical laws are "boundary stones set in an eternal foundation" parallels Plato's Forms and Augustine's intelligible objects as timeless, immutable realities. They are not dependent on human minds, cultures, or contingent physical realities but are 'discernable by reason', where 'reason' represents the faculty that is capable of grasping incorporeal truths.

    We bring one and two into existence, by and intentional act - it's something we do.Banno

    Hence, these MUST be understood as constructions, hence contingent facts, our own creations, in fact, not immutable truths, which still retain a theological undertone that does not sit well with our secular age. Thomas Nagel quotes C S Peirce:

    The only end of science, as such, is to learn the lesson that the universe has to teach it. In Induction it simply surrenders itself to the force of facts. But it finds . . . that this is not enough. It is driven in desperation to call upon its inward sympathy with nature, its instinct for aid, just as we find Galileo at the dawn of modern science making his appeal to il lume naturale. . . . The value of Facts to it, lies only in this, that they belong to Nature; and nature is something great, and beautiful, and sacred, and eternal, and real - the object of its worship and its aspiration.

    The soul's deeper parts can only be reached through its surface. In this way the eternal forms, that mathematics and philosophy and the other sciences make us acquainted with will, by slow percolation, gradually reach the very core of one's being, and will come to influence our lives; and this they will do, not because they involve truths of merely vital importance, but because they [are] ideal and eternal verities.
    Evolutionary Naturalism and the Fear of Religion

    This is part of the preamble in which Nagel then describes the 'fear of religion' as one of the main motivations for the rejection of Platonism and the adoption of evolutionary naturalism:

    Even without God, the idea of a natural sympathy between the deepest truths of nature and the deepest layers of the human mind, which can be exploited to allow gradual development of a truer and truer conception of reality, makes us more at home in the universe than is secularly comfortable.

    That's the cultural dynamic that I think is behind the rejection of platonism in mathematics and the subsequent relativisation of reason.


    If anyone is spending their holiday on TPF, poor devils, then Merry Christmas!J

    Beats crossword puzzles! And, same to you. :party:
  • In defence of the Principle of Sufficient Reason
    Perhaps the attempt to understand God in terms of rational principles is a misguided attempt to understand a God who is understood, to the extent he is understood, as willful.Fooloso4

    By 'theological voluntarism', associated with Protestant conceptions of Divinity, and very different from the philosophical rationalism of scholastic theology.
  • In defence of the Principle of Sufficient Reason
    But the PSR says that everything has an explanation.Clearbury

    I don't know if it does. It says that everything that exists has a reason for its existence. But everything that exists is the domain of phenomena, 'what appears'. The 'first cause', whether conceived of as a personalistic God or not, is not something that exists, but the condition of the possibility of the existence of everything that exists. It's on a different ontological level to what exists - that's what 'transcendence' means. (See God Does Not Exist.)

    I am going to call that a ticketyboo.Clearbury

    Hardly does justice to the topic.
  • In defence of the Principle of Sufficient Reason
    Existence isn't a property; that would imply there are objects in the world that lack it - which is absurd. All objects in the world exist.Relativist

    What about the mathematical and analytical tools that are used to determine what in the world exists, especially on the scales of the atomic or cosmological. Are they themselves also things that exist? (I seem to recall that atomic physics relies heavily on the imaginary number the square root of minus one in normalisation procedures, which would suggest not. ) For that matter, there's Terrence Deacon's absentials which are also defined as not materially existent but often amongst the definining properties of entential activities. From the glossary entry:

    • a state of things not yet realized
    • a specific separate object of a representation,
    • a general type of property that may or may not exist,
    • an abstract quality,
    • an experience, and so forth-just not that which is actually present.
    • something missing, separate, and possibly nonexistent
    • irrelevant when it comes to inanimate things, but a defining property of life and mind
    • what is absent matters.
    • a purpose not yet actualized,
    • a quality of feeling, a functional value just discovered
    • not just superimposed probable physical relationships
    • each an intrinsically absent aspect of something present

    Absentials do not exist, but play a defining role in the existence of what he calls ententional agents.

    Rather than the problem of an infinite regress, the problem is one of the limits of human reason.Fooloso4

    While I can see your point, natural theology will suggest that the regularities and rationally-intelligible principles that constitute what we describe as natural laws suggest a prior cause. And indeed that the whole idea of apriori truths implicitly suggests it. The fact that science itself can't explain scientific laws is no fault of science, but it does legitimately imply a deeper level of explanation than the scientific. One could argue among the aims of philosophy is to discern the boundary of what can be explained in terms of natural laws, and to intuit what may lie beyond it, even if it can't be stated in scientific terms.

    It's not in dispute that a necessarily existing thing exists and can't not. But if the PSR is true, then there will be an explanation of that. You haven't provided one, I think.Clearbury

    As the OP is on Christmas break (which strictly speaking I also am, but never mind), I'll volunteer a response. The point about necessary being is that it needs no explanation. It is the terminus of explanation for all question about 'why is that the case?' A trivial example is the case of a simple arithmetical equation, what is the sum of two plus two? The answer of course is 'four' and there is no point in asking why it is. Asking "why is 2 + 2 = 4?" misconstrues the nature of necessity. The explanation for such truths lies in their self-evidence within the system within which they're true, and no further "why" can be meaningfully posed.

    Similarly, in metaphysics, the idea of a necessary being functions as the ultimate 'terminus of explanation' under the principle of sufficient reason. The PSR asserts that everything must have an explanation, either in terms of an external cause or in terms of its own nature. For contingent beings, the PSR demands a cause or reason external to themselves. But for a necessary being, its necessity is its explanation.
  • Mythology, Religion, Anthopology and Science: What Makes Sense, or not, Philosophically?
    One has to disabuse oneself of modernity.unenlightened

    I've been reading Hans Jonas: The Phenomenon of Life (1966) which is a highly-regarded work in phenomenology and existentialism. He points out that for pre-moderns, life was the norm, what with the Universe being so obviously alive, whilst death was anomalous, something that had to be explained, in terms of the classical myths of immortality. He explains that this flips with the Renaissance so that dead matter becomes the norm, and life itself an anomaly, which now has to be explained in terms of physical laws, so called. Fascinating read.
  • Mathematical platonism
    It’s a perfectly meaningless expression. But Happy Christmas, regardless. :party:
  • The Mind-Created World
    How is anything? :chin: Anyway it’s Christmas Day, I’ll reply later (and Happy Christmas :party: )
  • Mathematical platonism
    Every sentient creature is surrounded by objects but only rational sentient beings know arithmetic. Anyway if you read the quote in context it makes a point which is clearly salient to the OP (although I’m not going to try and explain it all over again.)