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Single Idea 1614

[filed under theme 6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism ]

Full Idea

Conceptualism holds that there are universals but they are mind-made.

Gist of Idea

Conceptualism holds that there are universals but they are mind-made

Source

Willard Quine (On What There Is [1948], p.14)

Book Ref

Quine,Willard: 'From a Logical Point of View' [Harper and Row 1963], p.14


The 8 ideas with the same theme [maths is just a set of human concepts in minds]:

We now know that mathematics only studies hypotheses, not facts [Peirce]
Abstraction from things produces concepts, and numbers are in the concepts [Frege]
Conceptualism holds that there are universals but they are mind-made [Quine]
The best version of conceptualism is predicativism [Bostock]
Conceptualism fails to grasp mathematical properties, infinity, and objective truth values [Bostock]
Conceptualists say we know mathematics a priori by possessing mathematical concepts [Kitcher]
If meaning makes mathematics true, you still need to say what the meanings refer to [Kitcher]
Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro]