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19 votes

How many Platonic ideals are there?

Although Plato's Theory of Forms presents as a consistent, "scientific" system of metaphysics, it doesn't really hold up under scrutiny, and there's a strong tradition of thought that it was ...
Chris Sunami's user avatar
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6 votes

Did God "design" logic?

He could have made it so that 2 + 2 = 5, without modifying the meaning of "2" or "+" or "=" or "4" or "5" (i.e. keeping all of that exactly the same). ...
causative's user avatar
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3 votes

What did Plato and Plotinus mean by "beyond being?"

Here is the passage (Greek, English) quoted from Plato’s Republic (Emphasis J.W.) referring to "beyond being": καὶ τοῖς γιγνωσκομένοις τοίνυν μὴ μόνον τὸ γιγνώσκεσθαι φάναι ὑπὸ τοῦ ἀγαθοῦ ...
Jo Wehler's user avatar
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3 votes
Accepted

Are MUH and IIT compatible

IIT is essentially a flavor of physical monism. It presupposes that what we typically think of as the mental--consciousness--is a manifestation of a physical state. That, in itself, is not unusual. It'...
Chris Sunami's user avatar
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3 votes

Did God "design" logic?

There seems to be more than one question here. What is the origin of logic: is it the product of human design, or a natural feature of human thought, or is it supernatural in some way? What is the ...
Bumble's user avatar
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2 votes

Did God "design" logic?

2 + 2 = 4 by definition. It's not that we can't fathom 2 + 2 = 5, it's that that's not what we defined 2 + 2 to be. We can fathom much stranger things, like i*i = -1 The is no world, where the fourth ...
Michael Carey's user avatar
2 votes
Accepted

Did God "design" logic?

One characterization of logic is as "topic neutral" (though heed the caveats in the SEP entry!), so logic is, or there would be a logic that is, about God as much as anything else. If God ...
Kristian Berry's user avatar
2 votes

Are Bourbaki and Deligne Mathematical Realists?

Bourbaki have insisted that they are interested in the way mathematicians do their work rather than in foundations, and there are indications that their philosophy of mathematics is not carefully ...
Mikhail Katz's user avatar
  • 1,411
2 votes

What is it that is done when we DO mathematics?

What are the deeper contents of the doing of mathematics? Mathematicians invent concepts from the domains below, state some interesting axioms and prove by applying logical rules, that certain ...
Jo Wehler's user avatar
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2 votes

What did Plato and Plotinus mean by "beyond being?"

There is a similitude here: (508-509) "it is right to deem light and vision sunlike, but never to think that they are the sun, [in the same way] the idea of good [...] you must conceive it as ...
Mauro ALLEGRANZA's user avatar
2 votes

Did Gödel think certain math could only be understood if platonism is correct? (and correspondence and nominalism)

We do not have a definition for existence. Take a naïve (read best possible) notion of existence: x is perceivable -> x exists (fails because of hallucinations) x exists -> x is perceivable (...
Hudjefa's user avatar
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1 vote

What did Plato and Plotinus mean by "beyond being?"

Plato, particularly in Plotinus' "neo-Platonic" interpretation, believes--or at least talks about--multiple levels of reality. Our ordinary, everyday life is an illusion, it's several levels ...
Chris Sunami's user avatar
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1 vote

What is it that is done when we DO mathematics?

As a first stab at an answer, based on the operations of my own mind, I would argue that if the mind is not recognizing the sense of proportion and/or the concept of numbers then it is not doing math. ...
SystemTheory's user avatar
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1 vote

What is it that is done when we DO mathematics?

One answer is provided by Leibniz in terms of his idea of mathematical entities as "useful fictions". The view of mathematical entities as fictional was propounded by mature Leibniz no ...
Mikhail Katz's user avatar
  • 1,411
1 vote
Accepted

What is it that is done when we DO mathematics?

Short Version To me the central thing about math is that it is platonism-reified. When a mathematician does mathematics what they are doing is performing that reification. Note the fine dance that's ...
Rushi's user avatar
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1 vote

Are MUH and IIT compatible

MUH states that the ontological representation of reality IS mathematics. IIT on the other hand accepts the traditional view that consciousness is grounded on physical matter, but instead of trying to ...
Ioannis Paizis's user avatar
1 vote

Are Bourbaki and Deligne Mathematical Realists?

Concerning your first question see Nicolaus Bourbaki The architecture of mathematics. The paper is a self-presentation of Bourbaki from 1950, on request I can send a copy. Reading the paper confirms @...
Jo Wehler's user avatar
  • 33.5k
1 vote

What are some points to refute the Mathematical universe hypothesis?

My suggestion is don't call it a category error, or problematize his math. He can easily find refuge within the mysteries and idiosyncratic views of consciousness. Most arguments against MUH attack ...
J Kusin's user avatar
  • 2,794
1 vote
Accepted

How do modern platonists explain the objective, specific connections between the physical and abstract?

The usual way of this involves possible worlds as abstract objects (or, then, possible objects as abstract, for that matter). Since every permutation of possible properties is encoded by abstract ...
Kristian Berry's user avatar
1 vote
Accepted

Can someone explain the terms "virtual cause" and "eminent cause"?

These are terms used by medieval philosophers, and also by Descartes and some others. Today, only a few scholars in the Aristotelian or Thomistic tradition continue to use them. The idea is to ...
Bumble's user avatar
  • 26.4k
1 vote

Did Gödel think certain math could only be understood if platonism is correct? (and correspondence and nominalism)

The passage from Shapiro does not mention nominalism at all, whereas four out of your five conclusions deal with nominalism. One wonders how they are derived from Shapiro's passage. As far as Gödel ...
Mikhail Katz's user avatar
  • 1,411

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