We have had a few actual physicists active here, but they seem to have at least momentarily fled the environment. — jgill

"So, do we have an adequate grasp of the fact—even if we should consider it in many ways—that what is entirely, is entirely knowable; and what in no way is, is in every way unknowable?" (477a) — Fooloso4
The good, being beyond being, is not something that is entirely. — Fooloso4
What makes that form of realism Platonic? — Mww
Platonism about mathematics (or mathematical platonism) is the metaphysical view that there are abstract mathematical objects whose existence is independent of us and our language, thought, and practices. Just as electrons and planets exist independently of us, so do numbers and sets. And just as statements about electrons and planets are made true or false by the objects with which they are concerned and these objects’ perfectly objective properties, so are statements about numbers and sets. Mathematical truths are therefore discovered, not invented. ....
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 which aren’t part of the causal and spatiotemporal order studied by the physical sciences. 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. — SEP
In his seminal 1973 paper, “Mathematical Truth,” Paul Benacerraf presented a problem facing all accounts of mathematical truth and knowledge. Standard readings of mathematical claims entail the existence of mathematical objects. But, our best epistemic theories seem to deny that knowledge of mathematical objects is possible. Thus, the philosopher of mathematics faces a dilemma: either abandon standard readings of mathematical claims or give up our best epistemic theories. Neither option is attractive. ....
Mathematical objects are in many ways unlike ordinary physical objects such as trees and cars. We learn about ordinary objects, at least in part, by using our senses. It is not obvious that we learn about mathematical objects this way. Indeed, it is difficult to see how we could use our senses to learn about mathematical objects. We do not see integers, or hold sets. Even geometric figures are not the kinds of things that we can sense. ...
[Rationalists] claim that we have a special, non-sensory capacity for understanding mathematical truths, a rational insight arising from pure thought. But the rationalist’s claims appear incompatible with an understanding of human beings as physical creatures whose capacities for learning are exhausted by our physical bodies. — IEP, Indispensability Argument in Phil. of Math
Some scholars feel very strongly that mathematical truths are “out there,” waiting to be discovered—a position known as Platonism. It takes its name from the ancient Greek thinker Plato, who imagined that mathematical truths inhabit a world of their own—not a physical world, but rather a non-physical realm of unchanging perfection; a realm that exists outside of space and time. Roger Penrose, the renowned British mathematical physicist, is a staunch Platonist. In The Emperor’s New Mind, he wrote that there appears “to be some profound reality about these mathematical concepts, going quite beyond the mental deliberations of any particular mathematician. It is as though human thought is, instead, being guided towards some external truth—a truth which has a reality of its own...” ....
Other scholars—especially those working in other branches of science—view Platonism with skepticism. Scientists tend to be empiricists; they imagine the universe to be made up of things we can touch and taste and so on; things we can learn about through observation and experiment. The idea of something existing “outside of space and time” makes empiricists nervous: It sounds embarrassingly like the way religious believers talk about God, and God was banished from respectable scientific discourse a long time ago.
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? — What is Math
Looking at 74b, we can see the inkling of something new and different just beggin’ to be exposed. Socrates says stuff like…when we think……but leaves it at that. Kant steps in with a new notion of what is actually happening when we think, and the transcendental arguments are the necessary conditions that justify those speculative notions. It’s Aristotle’s logic in spades: if this is the case, which the LNC says it is, and that follows necessarily from this case, which the Law of Identity says it does, then the entire systemic procedure is only possible if this certain something is antecedent to all of it.
By delving deeper into the human cognitive system, examining it from a transcendental point of view, claimed to be the only way to determine that antecedent something, Kant both sustains and refutes arguments from imperfection. Refutes insofar as purely logical systems can be perfectly formed and thereby perfectly concluded, hence can be absolutely certain in themselves; sustained insofar as being metaphysical, there are no possible empirical proofs for those transcendental points of view, which a proper science must have, hence is imperfect. — Mww
Like Macbeth, Western man made an evil decision, which has become the efficient and final cause of other evil decisions. Have we forgotten our encounter with the witches on the heath? It occurred in the late fourteenth century, and what the witches said to the protagonist of this drama was that man could realize himself more fully if he would only abandon his belief in the existence of transcendentals. The powers of darkness were working subtly, as always, and they couched this proposition in the seemingly innocent form of an attack upon universals. The defeat of logical realism in the great medieval debate was the crucial event in the history of Western culture; from this flowed those acts which issue now in modern decadence. — Richard Weaver, Ideas have Consequences
My problem, everyone's except for a few perhaps, is that the only conduit for perception (both of ourselves and the world out there) is our senses (the 5 physical and the sixth, mind) and there's no reason at all why they should be truthful or untruthful. — Agent Smith
I (see) no necessity that our senses be either truthful or mendacious — Agent Smith
I encourage any Q-physicist reading this post to consider enrolling in this course — jgill
There is for Aristotle no "equal itself" existing by itself timeless and unchanging. — Fooloso4
Nature doesn't create good and bad people; it creates biological strategies, which are then moulded by social contexts and judged through ideological lenses. — Baden
Wherever I turn, the popular media, scientists and even fellow philosophers are telling me that I’m a machine or a beast. My ethics can be illuminated by the behavior of termites. My brain is a sloppy computer with a flicker of consciousness and the illusion of free will. I’m anything but human.
I don't find the argument persuasive. — Fooloso4
...in thinking*, [says Aristotle] the intelligible object or form is present in the intellect, and thinking itself is the identification of the intellect with this intelligible. Among other things, this means that you could not think if materialism is true… . Thinking is not something that is, in principle, like sensing or perceiving; this is because thinking is a universalising activity. This is what this means: when you think, you see - mentally see - a Form which could not, in principle, be identical with a particular - including a particular neurological element, a circuit, or a state of a circuit, or a synapse, and so on. This is so because the object of thinking is universal, or the mind is operating universally.
For Empiricism there is no essential difference between the intellect and the senses. The fact which obliges a correct theory of knowledge to recognize this essential difference is simply disregarded. What fact? The fact that the human intellect grasps, first in a most indeterminate manner, then more and more distinctly, certain sets of intelligible features -- that is, natures, say, the human nature -- which exist in the real as identical with individuals, with Peter or John for instance, but which are universal in the mind and presented to it as universal objects, positively one (within the mind) and common to an infinity of singular things (in the real). — Jacques Maritain, The Cultural Impact of Empiricism
'argument from imperfection' anticipates Kant's Transcendental Arguments.
— Wayfarer
Sure reads that way. — Mww
Please elucidate the training program in metaphysics I would need to complete to be considered competent in metaphysics. Be specific as possible. — jgill
Rather than looking at it in terms of empiricism, I look at it in terms of practice. A carpenter determines that two boards are of equal length. If they are not then one will either not fit or be too loose. A merchant puts things on a scale. They are of equal weight or not. They either balance or not. Rather than thinking of it in terms of equality they might be thought of in terms of bigger and smaller or the same. — Fooloso4
“Whence did we derive the knowledge of it [i.e. equality]? Is it not from the things we were just speaking of? Did we not, by seeing equal pieces of wood or stones or other things, derive from them a knowledge of abstract equality, which is another thing? Or do you not think it is another thing? Look at the matter in this way. Do not equal stones and pieces of wood, though they remain the same, sometimes appear to us equal in one respect and unequal in another?”
“Certainly.”
“Well, then, did absolute equals ever appear to you unequal or equality inequality?”
“No, Socrates, never.”
“Then,” said he, “those equals are not the same as equality in the abstract.”
“Not at all, I should say, Socrates.”
“But from those equals,” said he, “which are not the same as abstract equality, you have nevertheless conceived and acquired knowledge of it?”
“Very true,” he replied.
“And it is either like them or unlike them?”
“Certainly.”
“It makes no difference,” said he. “Whenever the sight of one thing brings you a perception of another, whether they be like or unlike, that must necessarily be recollection.”
“Surely.”
“Now then,” said he, “do the equal pieces of wood and the equal things of which we were speaking just now affect us in this way: Do they seem to us to be equal as abstract equality is equal, or do they somehow fall short of being like abstract equality?”
“They fall very far short of it,” said he.
“Do we agree, then, that when anyone on seeing a thing thinks, 'This thing that I see aims at being like some other thing that exists, but falls short and is unable to be like that thing, but is inferior to it, he who thinks thus must of necessity have previous knowledge of the thing which he says the other resembles but falls short of?”
“We must.”
“Well then, is this just what happened to us with regard to the equal things and equality in the abstract?”
“It certainly is.”
“Then we must have had knowledge of equality before the time when we first saw equal things and thought, ‘All these things are aiming to be like equality but fall short.’”
“That is true.”
“And we agree, also, that we have not gained knowledge of it, and that it is impossible to gain this knowledge, except by sight or touch or some other of the senses? I consider that all the senses are alike.”
“Yes, Socrates, they are all alike, for the purposes of our argument.”
“Then it is through the senses that we must learn that all sensible objects strive after absolute equality and fall short of it. Is that our view?”
“Yes.”
“Then before we began to see or hear or use the other senses we must somewhere have gained a knowledge of abstract or absolute equality, if we were to compare with it the equals which we perceive by the senses, and see that all such things yearn to be like abstract equality but fall short of it.”
“That follows necessarily from what we have said before, Socrates.”
“And we saw and heard and had the other senses as soon as we were born?”
[75c] “Certainly.”
“But, we say, we must have acquired a knowledge of equality before we had these senses?”
“Yes.
“Then it appears that we must have acquired it before we were born.”
“It does.”
“Now if we had acquired that knowledge before we were born, and were born with it, we knew before we were born and at the moment of birth not only the equal and the greater and the less, but all such abstractions? For our present argument is no more concerned with the equal than with absolute beauty and the absolute good and the just and the holy, and, in short, with all those things which we stamp with the seal of absolute in our dialectic process of questions and answers; so that we must necessarily have acquired knowledge of all these before our birth.”
“That is true.”
“And if after acquiring it we have not, in each case, forgotten it, we must always be born knowing these things, and must know them throughout our life; for to know is to have acquired knowledge and to have retained it without losing it, and the loss of knowledge is just what we mean when we speak of forgetting, is it not, Simmias?”
“Certainly, Socrates,” said he.
“But, I suppose, if we acquired knowledge before we were born and lost it at birth, but afterwards by the use of our senses regained the knowledge which we had previously possessed, would not the process which we call learning really be recovering knowledge which is our own? And should we be right in calling this recollection?”
“Assuredly.” — Phaedo
For example, part of the meaning of modern atheism are the unsustainable life-styles we associate with consumer-capitalism, life-styles that Baby Boomers in particular often justify on the basis of their metaphysical belief that "you only live once" . Atheism both drives, and is driven by, consumer capitalism, e.g. retailers preaching to us that we must live this 'one' life to the fullest.
If my opinion is correct, then the rise of sustainable environmentalism throughout the world will be correlated with a rejection of today's widespread atheistic beliefs for metaphysical belief systems that give moral incentive for individuals to live sustainably. — sime
I don't find the argument persuasive. Socrates says he is not talking about one thing being equal to another (74a), but I think that is where we get the idea from. We can see that one thing is larger than or more than another. The less the difference the closer they come to being equal. — Fooloso4
An abstract ideal, in this case equality which is indeed different than being equal. is not properly a knowledge but more an intellectual presupposition, later to be transformed into Aristotle’s categories, thus not technically derivable from instances of perception. — Mww
The first thing that comes to mind for me is that while no two sticks are equal to one another, they are equal to themselves. So Socrates is equal to Socrates -- the actualization of the relationship of equality is that relationship which any individual has with itself. — Moliere
I don't see that at all
— Wayfarer
Don't see what? — frank
there's an argument in the Phaedo (which I don't recall being discussed in the thread on that dialogue) called The Argument from Imperfection (reference). Basically this revolves around the 'idea of Equals'. It points out that there is no physical instantiation or example of 'Equals'. It argues that things that we see as equal - two sticks, or two stones - are not really equal but merely alike. Plato argues that the ability to grasp 'Equal' amounts to grasping the Form of Equal, which is something that is done solely by the Intellect, not by sensory apprehension.
That argument has intuitive appeal to me, because I believe that it is indeed true that 'Equal' has no physical instantiation, and yet it is a fundamental element of mathematical and indeed general reasoning. — Wayfarer
Weinstein examines the philosophy of 9th century theologian Johannes Scotus Eriugena, who proposed that "God has created the world out of his own being", and identifies this as a form of pandeism, noting in particular that Eriugena's vision of God was one which does not know what it is, and learns this through the process of existing as its creation. In his great work, De divisione naturae (also called Periphyseon, probably completed around 867 AD), Eriugena proposed that the nature of the universe is divisible into four distinct classes:
1 – that which creates and is not created;
2 – that which is created and creates;
3 – that which is created and does not create;
4 – that which neither is created nor creates.
The first stage is God as the ground or origin of all things; the second is the world of Platonic ideals or forms; the third is the wholly physical manifestation of our Universe, which "does not create"; the last is God as the final end or goal of all things, that into which the world of created things ultimately returns to completeness with the additional knowledge of having experienced this world. A contemporary statement of this idea is that: "Since God is not a being, he is therefore not intelligible... This means not only that we cannot understand him, but also that he cannot understand himself. Creation is a kind of divine effort by God to understand himself, to see himself in a mirror." French journalist Jean-Jacques Gabut agreed, writing that "a certain pantheism, or rather pandeism, emerges from his work where Neo-Platonic inspiration perfectly complements the strict Christian orthodoxy." Eriugena himself denied that he was a pantheist.
Absolute evil is the reflection/mirror image of... — Agent Smith
I expect that anyone who believes in life everlasting would not be materialistic, for instance, yet Christians, at least in the US, seem quite ordinary in that regard. — praxis
The irony in this statement is that it seems to be based on you thinking that you know what science can and cannot ascertain, rather than leaving it as an open question to be determined by further inquiry. — Janus
it doesn’t accept the basic premise that there is a world out there and that our job is to understand it. — Why QBism is completely empty - Mateus Araújo
