platonists

If platonists managed to establish the existence of properties and relations in this way, they would still need to argue that such things could only be abstract objects.

Platonism in Metaphysics Balaguer, Mark 2009

This argument seems to be valid, and platonists claim that the best and only tenable explanation of this fact involves a commitment to the idea that the ˜that™-clause in this argument, i.e.,

Platonism in Metaphysics Balaguer, Mark 2009

There is a good deal of agreement among philosophers of mathematics that psychologism and immanent realism are untenable; that is, most philosophers of mathematics are either platonists or nominalists; but there is very little agreement as to whether platonism or nominalism is correct.

Platonism in Metaphysics Balaguer, Mark 2009

The second strategy that platonists can pursue in responding to the epistemological argument is to argue that

Platonism in Metaphysics Balaguer, Mark 2009

The third and final strategy that platonists can pursue is to accept

Platonism in Metaphysics Balaguer, Mark 2009

This view is very subtle and the question of how platonists could most plausibly undermine it is tricky.

Platonism in Metaphysics Balaguer, Mark 2009

And in connection with immanent realism, platonists of this sort could argue that propositions couldn't be composed of immanent-realist properties, because people can believe propositions that are composed of properties that are not instantiated in the physical world.

Platonism in Metaphysics Balaguer, Mark 2009

This has been the most popular strategy among contemporary platonists.

Platonism in Metaphysics Balaguer, Mark 2009

But in fact, there are infinitely many different kinds of set-theoretic structures, and platonists can argue that physicalistic views like Maddy's are incompatible with this.

Platonism in Metaphysics Balaguer, Mark 2009

Advocates of psychologism agree with platonists that in the sentence ˜3 is prime™, ˜3™ functions as a singular term (i.e., as a denoting expression).

Platonism in Metaphysics Balaguer, Mark 2009