Combining Texts

All the ideas for 'fragments/reports', 'Of Organum or Ars Magna of Thinking' and 'Constructibility and Mathematical Existence'

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9 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
An idea is analysed perfectly when it is shown a priori that it is possible [Leibniz]
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]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
Our thoughts are either dependent, or self-evident. All thoughts seem to end in the self-evident [Leibniz]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Supreme human happiness is the greatest possible increase of his perfection [Leibniz]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]