Combining Texts

All the ideas for 'works', 'A Thousand Small Sanities' and 'Philosophy of Logic'

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38 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
Do not multiply entities beyond necessity [William of Ockham]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
For scientific purposes there is a precise concept of 'true-in-L', using set theory [Putnam]
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Modern notation frees us from Aristotle's restriction of only using two class-names in premises [Putnam]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
The universal syllogism is now expressed as the transitivity of subclasses [Putnam]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / a. Symbols of PC
'⊃' ('if...then') is used with the definition 'Px ⊃ Qx' is short for '¬(Px & ¬Qx)' [Putnam]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / a. Types of set
In type theory, 'x ∈ y' is well defined only if x and y are of the appropriate type [Putnam]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Before the late 19th century logic was trivialised by not dealing with relations [Putnam]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Asserting first-order validity implicitly involves second-order reference to classes [Putnam]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Unfashionably, I think logic has an empirical foundation [Putnam]
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
We can identify functions with certain sets - or identify sets with certain functions [Putnam]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Having a valid form doesn't ensure truth, as it may be meaningless [Putnam]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
Sets larger than the continuum should be studied in an 'if-then' spirit [Putnam]
8. Modes of Existence / D. Universals / 5. Universals as Concepts
Species and genera are individual concepts which naturally signify many individuals [William of Ockham]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism only makes sense if it is materialist [Putnam]
9. Objects / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta
Physics is full of non-physical entities, such as space-vectors [Putnam]
14. Science / A. Basis of Science / 4. Prediction
Most predictions are uninteresting, and are only sought in order to confirm a theory [Putnam]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
Most good social changes are incremental, rather than revolutionary [Gopnik]
24. Political Theory / D. Ideologies / 3. Conservatism
Conservatives often want peace, prosperity and tolerance, but not social fairness [Gopnik]
Conservatives believe obedience and rank are essential to social order [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
The opposite of liberalism is dogmatism [Gopnik]
People are fallible, so liberalism tries to distribute power [Gopnik]
Liberals have tried very hard to build a conscience into their institutions [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
Left-wingers are inconsistent in their essentialist descriptions of social groups [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
Liberal community is not blood ties or tradition, but shared choices, and sympathy for the losers [Gopnik]
Liberal community includes flight from the family, into energetic reforming groups [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Right-wingers attack liberal faith in reason, left-wingers attack its faith in reform [Gopnik]
Cosmopolitan liberals lack national loyalty, and welcome excessive immigration [Gopnik]
Modern left-wingers criticise liberalism's control of culture [Gopnik]
Liberalism's attempt to be neutral and colour-blind erases cultural identities [Gopnik]
24. Political Theory / D. Ideologies / 9. Communism
Classic Marxists see liberalism as the ideology of the bourgeoisie [Gopnik]
24. Political Theory / D. Ideologies / 11. Capitalism
Environmental disasters result not from capitalism, but from a general drive for growth [Gopnik]
24. Political Theory / D. Ideologies / 14. Nationalism
Popular imperialism gives the poor the belief that their acts have world historical meaning [Gopnik]
Patriots love their place, but nationalists have a paranoid ethnic hostility [Gopnik]
25. Social Practice / A. Freedoms / 3. Free speech
Liberal free speech is actually paid speech [Gopnik]
25. Social Practice / A. Freedoms / 4. Free market
A 'free' society implies a free market, which always produces predatory capitalism and inequalities [Gopnik]
27. Natural Reality / D. Time / 1. Nature of Time / i. Denying time
The past has ceased to exist, and the future does not yet exist, so time does not exist [William of Ockham]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
William of Ockham is the main spokesman for God's commands being the source of morality [William of Ockham]
29. Religion / B. Monotheistic Religion / 4. Christianity / c. Angels
Even an angel must have some location [William of Ockham, by Pasnau]