Questions tagged [platonic-realism]

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22 votes
16 answers
3k views

Is knowledge non-physical?

What is the fundamental nature/ontology of knowledge? Is knowledge a physical state? Is knowledge a specific arrangement of physical particles in a brain, a book, a solid-state drive, a GPU, etc.? Or ...
Mark's user avatar
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4 votes
2 answers
114 views

Are Bourbaki and Deligne Mathematical Realists?

The following are two closely related questions. What was Bourbaki's position on the ontological status of mathematical objects? Were they some kind of Realist/Platonist or were they Formalist? ...
Luqman Waheeduddin's user avatar
2 votes
7 answers
1k views

How do we know we've defined a thing properly when all definitions have exceptions? [closed]

I don’t understand definitions. Let’s take this question: “What is a woman?” Now if I am a Platonic Idealist (or some other essentialist) then I think that all women share the same essence and will ...
ProfessorFinesse's user avatar
1 vote
3 answers
107 views

How be so sure that implications are bivalent? (An attempt to resolve paradoxes of material implication)

The material conditional, P→Q defined as ¬P∨Q, is usually thought not to match the usual linguistics, as seen by many paradoxes. The Wikipedia article gives few good examples. I tried to resolve them ...
Dannyu NDos's user avatar
7 votes
5 answers
229 views

How can mathematical results impact the physical world?

In his 2007 book I Am a Strange Loop, Douglas Hofstadter uses an analogy based on a domino computer. Indeed, it is possible to build logical gates made of dominoes (see e.g. here) and realize simple ...
thingsthatmighthavebeen's user avatar
4 votes
1 answer
155 views

If platonism was correct, would everything be real despite everything being formal?

In one of his recent essays (https://writings.stephenwolfram.com/2021/04/why-does-the-universe-exist-some-perspectives-from-our-physics-project/) the scientist Stephen Wolfram says (at the end of it, ...
vengaq's user avatar
  • 559
1 vote
3 answers
245 views

Do Universals Possess a Different Kind of Reality to Particulars?

I have a long interest in the 'problem of universals' and a conviction that some form of either Platonic or Aristotelian realism in respect of universals is correct. This extends to what is called '...
Wayfarer's user avatar
  • 574
47 votes
15 answers
18k views

Do numbers exist independently from observers?

Do numbers have an objective existence? If life had not evolved on planet earth would there be numbers or are numbers an invention of human minds? Are there any relevant works that discuss this? (I ...
leancz's user avatar
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