Combining Texts

All the ideas for 'works', 'De arcanus motus' and 'Constructibility and Mathematical Existence'

expand these ideas     |    start again     |     specify just one area for these texts


8 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
We could talk of open sentences, instead of sets [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Because of the definitions of cause, effect and power, cause and effect have the same power [Leibniz]
10. Modality / A. Necessity / 2. Nature of Necessity
Every necessary proposition is demonstrable to someone who understands [Leibniz]
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
Philosophers are the forefathers of heretics [Tertullian]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
I believe because it is absurd [Tertullian]