Platonist

Word PLATONIST
Character 9
Hyphenation pla to nist
Pronunciations N/A

Definitions and meanings of "Platonist"

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The word "platonist" in example sentences

For although truth-value realism claims that mathematical statements have unique and objective truth-values, it is not committed to the distinctively platonist idea that these truth-values flow from an ontology of mathematical objects. ❋ Linnebo, Øystein (2009)

Suppose an atheist believes in a platonist view of mathematics, on this view numbers and mathematical entities do not exist in space and time and so are transcendent. ❋ James F. McGrath (2009)

And so if we are looking for an anti-platonist view of what ˜that™-clauses refer to, or what belief reports are about, we cannot say that they're about sentence types; we have to say they're about sentence tokens. ❋ Balaguer, Mark (2009)

Would simply being a mathematical platonist make you a believer in God? ❋ James F. McGrath (2009)

If this is all that Independence amounts to, then the lightweight forms of platonism are likely to satisfy the claim and thus qualify as genuinely platonist. ❋ Linnebo, Øystein (2009)

Some views in the philosophy of mathematics are anti-nominalist without being platonist. ❋ Linnebo, Øystein (2009)

Some further examples of views that are anti-nominalist without being platonist will be discussed in Section ❋ Linnebo, Øystein (2009)

One might put this metaphorically by saying that on the platonist view, numbers exist “in platonic heaven”. ❋ Balaguer, Mark (2009)

Prima facie, it might seem that nominalism, or anti-realism, is further from the platonist view than immanent realism and conceptualism are for the simple reason that the latter two views admit that there do exist such things as numbers (or universals, or whatever). ❋ Balaguer, Mark (2009)

Given these assumptions, should one also be a mathematical platonist? ❋ Linnebo, Øystein (2009)

The easiest part of the fictionalist's job here is arguing against the various anti-platonist views. ❋ Balaguer, Mark (2008)

Thus, the overall conclusion that we seem led to here is this: even if fictionalists can motivate the platonist/fictionalist semantics of mathematical discourse and, thus, eliminate all of the anti-platonistic alternatives to fictionalism, they do not have any really compelling argument against platonism, or for the conclusion that fictionalism is superior to platonism. ❋ Balaguer, Mark (2008)

For instance, instead of claiming, as the platonist does, that there exists an infinite collection of abstract objects satisfying the axioms of Peano arithmetic (namely the natural numbers), Hellman claims that there could exist an infinite collection of concrete objects related so as to satisfy these axioms (Hellman 1989 and 1996). ❋ Linnebo, Øystein (2008)

Field (1989, 14-20) accepts the cogency of this type of inference to the best explanation but he argued (Field 1980) that platonist mathematics could be replaced by a nominalistically acceptable theory that was sufficient for the development of classical mechanics. ❋ Mancosu, Paolo (2008)

From this perspective, then, there is no epistemological problem for platonism once it is settled that platonist mathematics is part of best science. ❋ Paseau, Alexander (2008)

The naturalist-platonist may add that we can do no better, and that anyone who questions the scientific method's reliability has thereby abandoned the naturalist camp. ❋ Paseau, Alexander (2008)

A couple of examples: (i) the condition that p is a cause of the belief that p is too strong, as it rules out knowledge of the future; (ii) as the naturalist-platonist sees it, that abstract mathematical reality is thus-and-so is in fact part of the best explanation for the belief that ❋ Paseau, Alexander (2008)

Moreover, Quine and Putnam maintain that these standards sanction platonist mathematics because mathematics and its platonist construal are an indispensable part of our best scientific theories. ❋ Paseau, Alexander (2008)

They claim parsimony by equating the physical object with the full mathematical representation, making platonist mathematicians correct in some sense. ❋ Unknown (2007)

I presume that, unless we continue to elect presidents who listen only to voices in their heads or "noble lie" platonist neo-con advisors, most of the rest of the world does NOT want to see an America as self-absorbed, isolationist and protectionist as it was before WWII. ❋ Rachel (2007)

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