11 ideas
8758 | We could talk of open sentences, instead of sets [Chihara, by Shapiro] |
17807 | To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry] |
17806 | It is untenable that mathematics is general physical truths, because it needs infinity [Curry] |
10265 | Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro] |
8759 | We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro] |
10580 | Mathematics is both necessary and a priori because it really consists of logical truths [Yablo] |
17808 | Saying mathematics is logic is merely replacing one undefined term by another [Curry] |
10579 | Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo] |
10264 | Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro] |
10577 | Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo] |
10578 | We are thought to know concreta a posteriori, and many abstracta a priori [Yablo] |