Combining Texts

All the ideas for 'works', 'Mathematics and Philosophy: grand and little' and 'The Structure of Empirical Knowledge'

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15 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Philosophy aims to reveal the grandeur of mathematics [Badiou]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematics, if a problem can be formulated, it will eventually be solved [Badiou]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Mathematics shows that thinking is not confined to the finite [Badiou]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Mathematics inscribes being as such [Badiou]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
It is of the essence of being to appear [Badiou]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
A coherence theory of justification can combine with a correspondence theory of truth [Bonjour]
There will always be a vast number of equally coherent but rival systems [Bonjour]
Empirical coherence must attribute reliability to spontaneous experience [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
A well written novel cannot possibly match a real belief system for coherence [Bonjour]
The objection that a negated system is equally coherent assume that coherence is consistency [Bonjour]
A coherent system can be justified with initial beliefs lacking all credibility [Bonjour]
The best explanation of coherent observations is they are caused by and correspond to reality [Bonjour]
14. Science / A. Basis of Science / 5. Anomalies
Anomalies challenge the claim that the basic explanations are actually basic [Bonjour]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
All great poetry is engaged in rivalry with mathematics [Badiou]