Here's a little Wiki on the meaning of modern platonism. It's a thing among
the math-nerd type of philosophers.
Modern Platonism
Apart from historical Platonism originating from thinkers such as Plato
himself, Numenius, Plotinus, Augustine and Proclus, we may wish to consider the
theory of abstract objects in the modern sense.
Platonism is the view that there exist such things as abstract objects — where
an abstract object is an object that does not exist in space or time and which
is therefore entirely non-physical and non-mental. Platonism in this sense is a
contemporary view.[7]This modern platonism (conventionally written with a small
"p" to distinguish it from the ancient schools) has been endorsed in one way or
another at one time or another by numerous philosophers (most of whom taking a
particular interest in the philosophy and foundations of logic and
mathematics), including Bernard Bolzano, Gottlob Frege, Edmund Husserl,
Bertrand Russell, Alonzo Church, Kurt Gödel, W.V. Quine, Hilary Putnam, George
Bealer and Edward Zalta. Modern platonism recognizes a range of objects,
including numbers, sets, truth values, properties, types, propositions and
meanings.
> [Ham]
> > It's unclear why the author characterized platonists as
> > "realists", inasmuch as Plato is regarded as the father of Idealism.
>
> Platonists (& Plato) are considered realists because the former hold that
> reality precedes
> our IDEA of it.
> Plato's "idealism" consisted in his Forms as IDEALs, not as with the
> Idealists,
> that reality consists in our IDEAs.
> Craig
>
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