Combining Texts

All the ideas for 'Two Problems of Epistemology', 'The Foundations of Mathematics' and 'Of the Laws of Ecclesiastical Polity'

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13 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: there is an infinity of distinguishable individuals [Ramsey]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]
5. Theory of Logic / L. Paradox / 1. Paradox
Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
I just confront the evidence, and let it act on me [Ramsey]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]
14. Science / A. Basis of Science / 6. Falsification
Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]
25. Social Practice / C. Rights / 1. Basis of Rights
It is not a law if not endorsed by the public [Hooker,R]
25. Social Practice / D. Justice / 2. The Law / b. Rule of law
Rule of law is superior to autonomy, because citizens can see what is expected [Hooker,R]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Human laws must accord with the general laws of Nature [Hooker,R]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Natural things observe certain laws, and things cannot do otherwise if they retain their forms [Hooker,R]