Combining Texts

All the ideas for 'poems', 'Constructibility and Mathematical Existence' and 'Preface to Great Instauration (Renewal)'

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8 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophy is like a statue which is worshipped but never advances [Bacon]
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]
12. Knowledge Sources / B. Perception / 1. Perception
The senses deceive, but also show their own errors [Bacon]
14. Science / A. Basis of Science / 3. Experiment
Nature is revealed when we put it under pressure rather than observe it [Bacon]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Nomos is king [Pindar]