Combining Texts

All the ideas for 'Short History of Modern Philosophy', 'Centring' and 'On Second-Order Logic'

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19 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Nowadays logic is seen as the science of extensions, not intensions [Scruton]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
'∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Many concepts can only be expressed by second-order logic [Boolos]
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
Being is revealed at the point between waking and sleep [Anon (Cent)]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / a. Other minds
Neglect your self, and feel the consciousness of each other being [Anon (Cent)]
18. Thought / C. Content / 2. Ideas
Cartesian 'ideas' confuse concepts and propositions [Scruton]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Just as you have the impulse to do something, stop [Anon (Cent)]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
Allegiance is prior to the recognition of individual rights [Scruton]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Bondage and liberation are relative terms, which only frighten those already terrified of the universe [Anon (Cent)]
25. Social Practice / C. Rights / 1. Basis of Rights
A right is a power which is enforced in the name of justice [Scruton]
29. Religion / C. Spiritual Disciplines / 4. Zen Buddhism
Feel your whole body saturated with cosmic essence [Anon (Cent)]
Abandon attachment to body, and feel the joy of being everywhere [Anon (Cent)]
The serenity in blue sky beyond clouds [Anon (Cent)]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Imagine fire burning up your whole body, but not you [Anon (Cent)]