It can be said, in a certain sense, that nominalism becomes absurd if it is carried to its ultimate consequences. For it would deny the very possibility of identity as repetition and permanence. We need time and permanence in order to distinguish and identify. Identity and difference imply each other — JuanZu
"imperceptible difference. This exit from the identical into the same remains very slight, weighs nothing itself..it is not necessary to imagine the death of the sender or of the receiver, to put the shopping list in one's pocket, or even to raise the pen above the paper in order to interrupt oneself for a moment. The break intervenes from the moment that there is a mark, at once. It is iterability itself, ..passing between the re- of the repeated and the re- of the repeating, traversing and transforming repetition... Pure repetition, were it to change neither thing nor sign, carries with it an unlimited power of perversion and subversion.”
“The same never coincides with the equal, not even in the empty indifferent oneness of what is merely identical...The same…is the belonging together of what differs, through a gathering by way of the difference. We can only say "the same" if we think difference.”
“Just as mathematics and mechanics were long considered sciences with absolute validity, and only now does the suspicion dare show its face that they are nothing more and nothing less than applied logic on the strength of the particular, indemonstrable assumption that 'identical cases' exist and logic itself is a consistent notation based on that assumption (that identical cases exist) being carried out…
“When we say that the eternal return is not the return of the Same, or of the Similar or the Equal, we mean that it does not presuppose any identity. On the contrary, it is said of a world without identity, without resemblance or equality. It is said of a world the very ground of which
is difference, in which everything rests upon disparities, upon differences of differences which reverberate to infinity (the world of intensity). The eternal return is itself the Identical, the similar and the equal, but it presupposes nothing of itself in that of which it is said. It is said of
that which has no identity, no resemblance and no equality. It is the identical which is said of the
different, the resemblance which is said of the pure disparate, the equal which is said only of the
unequal and the proximity which is said of all distances. Things must be dispersed within difference, and their identity must be dissolved before they become subject to eternal return and to identity in the eternal return.”(Difference and Repetition)
What of the cogito. I think therefore i am? What is this relative too? Fichte says it's related to others but the existent of a single personality seems objective to me — Gregory
You, a thing, are describing things. You cannot describe a relationship in the absence of things. X is a thing. Everything else are things. — NOS4A2
Classification is not depentent on Platonism or platonism. — Gregory
We use language however in a Platonic way — Gregory
Where does it do that? — Count Timothy von Icarus
Presumably it has something to do with them since you're able to refer to them with words right here. — Count Timothy von Icarus
I am not sure how this is supposed to be taken. If there is "no truth in language," am I supposed to take it that nothing you have just expressed (in language) is true? — Count Timothy von Icarus
If I make up the world ishblaqwer and say it refers to dressers that have been painted green is this now an English word? Is it a Chinese word? Can I make up new Chinese words even though I don't speak Chinese? — Count Timothy von Icarus
https://en.wikipedia.org/wiki/Nominalism
Leśniewski denied the existence of the empty set and held that any singleton was identical to the individual inside it.
The principle of extensionality in set theory assures us that any matching pair of curly braces enclosing one or more instances of the same individuals denote the same set. Hence {a, b}, {b, a}, {a, b, a, b} are all the same set. For Goodman and other proponents of mathematical nominalism,[30] {a, b} is also identical to {a, {b} }, {b, {a, b} }, and any combination of matching curly braces and one or more instances of a and b, as long as a and b are names of individuals and not of collections of individuals.
In the foundations of mathematics, nominalism has come to mean doing mathematics without assuming that sets in the mathematical sense exist. In practice, this means that quantified variables may range over universes of numbers, points, primitive ordered pairs, and other abstract ontological primitives, but not over sets whose members are such individuals. Only a small fraction of the corpus of modern mathematics can be rederived in a nominalistic fashion.
If that is true, then Von Neumann ordinals cannot exist. Example 3 = {{},{{}},{{},{{}}}}. It wouldn't work because it would be reduced to the empty set which does not even exist according to Leśniewski, So, that view is very unproductive. — Tarskian
That is one single nominalist out of the several nominalists. Stop misrepresenting the view that you found out about by reading a Redditpedia article two hours ago.
And your criticism is spurious. — Lionino
You took this statement out of its context within an argument. Language has nothing to do with universals because its purpose is communication, not metaphysical truth. Communication is flawed and based upon prediction by others, it cannot be 100% precise and so cannot refer to a universal, just as one is unable to describe colour to the blind. There are limitations to language.
Again, this is semantics. When I am referencing truth, I am describing the non-static and arbitrary nature of signs and definitions. If I define X as Y, it doesn't mean it is the "true" definition, in fact there is no such thing. Language is entirely relational, you can swap out anything and it doesn't become "false" for doing so. Hence, any term such as "chair" will never be able to have a single agreed upon definition. Everyone will have a different conception of how X is defined.
Someone is able to refer to the concept of a chair knowing this, that they are referring to a broadly understood but vague notion, which can nevertheless illicit the idea they wish to impose on other minds.
This is entirely semantic. The simplist answer is that it doesnt matter to my argument or the broader question of nominalism.
If you’ve seen a relationship, and in fact it is all you ever see, what does one look like? — NOS4A2
So you are saying "I think therefore I am" is not a rigourus argument. — Gregory
imperceptible difference. This exit from the identical into the same remains very slight, weighs nothing itself..it is not necessary to imagine the death of the sender or of the receiver, to put the shopping list in one's pocket, or even to raise the pen above the paper in order to interrupt oneself for a moment. The break intervenes from the moment that there is a mark, at once. It is iterability itself, ..passing between the re- of the repeated and the re- of the repeating, traversing and transforming repetition... Pure repetition, were it to change neither thing nor sign, carries with it an unlimited power of perversion and subversion.”
To be a substance (thing-unit) is to function as a thing-unit in various situations. And to have a property is to exhibit this property in various contexts. ('The only fully independent substances are those which-like people-self-consciously take themselves to be units.)
As far as process philosophy is concerned, things can be conceptualized as clusters of actual and potential processes. With Kant, the process philosopher wants to identify what a thing is with what it does (or, at any rate, can do). After all, even on the basis of an ontology of substance and property, processes are epistemologically fundamental. Without them, a thing is inert, undetectable, disconnected from the world's causal commerce, and inherently unknowable. Our only epistemic access to the absolute properties of things is through inferential triangulation from their modus operandi-from the processes through which these manifest themselves. In sum, processes without substantial entities are perfectly feasible in the conceptual order of things, but substances without processes are effectively inconceivable.
Things as traditionally conceived can no more dispense with dispositions than they can dispense with properties. Accordingly, a substance ontologist cannot get by without processes. If his things are totally inert - if they do nothing - they are pointless. Without processes there is no access to dispositions, and without dispositional properties, substance lie outside our cognitive reach. One can only observe what things do, via their discernible effects; what they are, over and above this, is something that always involves the element of conjectural imputation. And here process ontology takes a straight-forward line: In its sight, things simply are what they do rather, what they dispositionally can do and normally would do.
The fact is that all we can ever detect about "things" relates to how they act upon and interact with one another - a substance has no discernible, and thus no justifiably attributable, properties save those that represent responses elicited from it in interaction with others. And so a substance metaphysics of the traditional sort paints itself into the embarrassing comer of having to treat substances ·as bare (propertyless) particulars [substratum] because there is no nonspeculative way to say what concrete properties a substance ever has in and of itself. But a process metaphysics is spared this embarrassment because processes are, by their very nature, interrelated and interactive. A process-unlike a substance -can simply be what it does. And the idea of process enters into our experience directly and as such.
Nicholas Rescher - "Process Metaphysics: An Introduction to Process Philosophy"
It is through action, and only through action, that real beings manifest or “unveil” their being, their presence, to each other and to me. All the beings that make up the world of my experience thus reveal themselves as not just present, standing out of nothingness, but actively presenting themselves to others and vice versa by interacting with each other. Meditating on this leads us to the metaphysical conclusion that it is the very nature of real being, existential being, to pour over into action that is self-revealing and self-communicative. In a word, existential being is intrinsically dynamic, not
static.
...by metaphysical reflection I come to realize that this is not just a brute fact but an intrinsic property belonging to the very nature of every real being as such, if it is to count at all in the community of existents. For let us suppose (a metaphysical thought experiment) that there were a real existing being that had no action at all. First of all, no other being could know it (unless it had created it), since it is only by some action that it could manifest or reveal its presence and nature; secondly, it would make no difference whatever to any other being, since it is totally unmanifested, locked in its own being and could not even react to anything done to it. And if it had no action within itself, it would not make a difference even to itself....To be real is to make a difference.
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One of the central flaws in Kant’s theory of knowledge is that he has blown up the bridge of action by which real beings manifest their natures to our cognitive receiving sets. He admits that things in themselves act on us, on our senses; but he insists that such action reveals nothing intelligible about these beings, nothing about their natures in themselves, only an unordered, unstructured sense manifold that we have to order and structure from within ourselves. But action that is completely indeterminate, that reveals nothing meaningful about the agent from which it comes, is incoherent, not really action at all.
The whole key to a realist epistemology like that of St. Thomas is that action is the “self revelation of being,” that it reveals a being as this kind of actor on me, which is equivalent to saying it really exists and has this kind of nature = an abiding center of acting and being acted on. This does not deliver a complete knowledge of the being acting, but it does deliver an authentic knowledge of the real world as a community of interacting agents—which is after all what we need to know most about the world so that we may learn how to cope with it and its effects on us as well as our effects upon it. This is a modest but effective relational realism, not the unrealistic ideal of the only thing Kant will accept as genuine knowledge of real beings, i.e., knowledge of them as they are in themselves independent of any action on us—which he admits can only be attained by a perfect creative knower. He will allow no medium between the two extremes: either perfect knowledge with no mediation of action, or no knowledge of the real at all.
W. Norris Clarke - "The One and the Many: A Contemporary Thomistic Metaphysics"
For the maker is always existent Being, but they exist in potentiality before they exist in actuality It is impossible for the infinite to exist on the same level of being as finite things, and no argument will ever be capable of demonstrating that being and what is beyond being are the same, nor that the measured and immeasurable can be put in the same class, nor that the absolute can be ranked with that which exists in relation to other things, nor that that which has nothing predicated of it and that which is constituted by predication belong together. For all created things are defined, in their essence and in their way of developing, by their own logoi and by the logoi of the beings that provide their external context. Through these logoi they find their defining limits.
-St. Maximus - Ambiguum 7
Hegel's basic demarche in both versions [of the Logic] is to trade on the incoherencies of the notions of the thing derived from this modern epistemology, very much as in the PhG. The Ding-an-sich is first considered: it is the unity which is reflected into a multiplicity of properties in its relation to other things, principally the knowing mind. But its properties cannot be separated from the thing in itself, for without properties it is indistinguishable from all the others. We might therefore say that there is only one thing in itself, but then it has nothing with which to interact, and it was this interaction with others, which gave rise to the multiplicity of properties. If there is only one thing-in-itself, it must of itself go over into the multiplicity of external properties. If we retain the notion of many, however, we reach the same result, for the many can only be distinguished by some difference of properties, hence the properties of each cannot be separated from it, it cannot be seen as simple identity.
Thus the notion of a Ding-an-sich as unknowable, simple substrate, separate from the visible properties which only arise in its interaction with others, cannot be sustained. The properties are essential to the thing, whether we look at it as one or many. And so Hegel goes over to consider the view which makes the thing nothing but these properties, which sees it as the simple coexistence of the properties. Here is where the theories of reality as made up of ' matters' naturally figure in Hegel's discussion.
But the particular thing cannot just be reduced to reduced to a mere coexistence of properties. For each of these properties exists in many things. In order to single out a particular instance of any property, we have to invoke another property dimension. If we want to single out this blue we have to distinguish it from others, identify it by its shape, or its position in time and space, or its relation to other things. But to do this is to introduce the notion of the multipropertied particular, for we have something now which is blue and round, or blue and to the left of the grey, or blue and occurring today, or something of the sort.
-Charles Taylor - Hegel
Interestingly, even on a reductive physicalist account, the general notion here should be true. Sign relations involving human cognition are incredibly complex and dynamic, and will never repeat in exactly the same way. — Count Timothy von Icarus
Greek iden — Count Timothy von Icarus
but this is actually from the Old French "idem et idem," — Count Timothy von Icarus
Nicholas Rescher - "Process Metaphysics: An Introduction to Process Philosophy"
W. Norris Clarke - "The One and the Many: A Contemporary Thomistic Metaphysics"
-St. Maximus - Ambiguum 7
-Charles Taylor - Hegel
That is a platonist view. The alternative (and my preference) is immanent universals: they exist exclusively in their instantiations.Universals have to do with forms, which are immaterial. — Gregory
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