Combining Texts

All the ideas for 'Set Theory', 'fragments/reports' and 'The Intelligence of Evil'

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27 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
7973 There is no longer anything on which there is nothing to say [Baudrillard]
2. Reason / A. Nature of Reason / 5. Objectivity
7975 The task of philosophy is to unmask the illusion of objective reality [Baudrillard]
2. Reason / A. Nature of Reason / 9. Limits of Reason
7986 Drunken boat pilots are less likely to collide than clearly focused ones [Baudrillard]
2. Reason / C. Styles of Reason / 1. Dialectic
7982 Instead of thesis and antithesis leading to synthesis, they now cancel out, and the conflict is levelled [Baudrillard]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
13030 Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
13032 Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / d. Axiom of Unions III
13033 Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13037 Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
13038 Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
13034 Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
13039 Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13036 Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
13029 Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
13031 Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
13040 Constructibility: V = L (all sets are constructible) [Kunen]
7. Existence / D. Theories of Reality / 3. Reality
7974 Without God we faced reality: what do we face without reality? [Baudrillard]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
7987 Nothing is true, but everything is exact [Baudrillard]
16. Persons / F. Free Will / 5. Against Free Will
7978 There is no need to involve the idea of free will to make choices about one's life [Baudrillard]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
22511 Some reasonings are stronger than we are [Philolaus]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
7980 In modern times, being useless is the essential aesthetic ingredient for an object [Baudrillard]
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
7983 Good versus evil has been banefully reduced to happiness versus misfortune [Baudrillard]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
7981 Whole populations are terrorist threats to authorities, who unite against them [Baudrillard]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
7976 People like democracy because it means they can avoid power [Baudrillard]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
7977 Only in the last 200 years have people demanded the democratic privilege of being individuals [Baudrillard]
25. Social Practice / E. Policies / 5. Education / d. Study of history
7979 The arrival of the news media brought history to an end [Baudrillard]
25. Social Practice / F. Life Issues / 4. Suicide
7984 Suicide is ascribed to depression, with the originality of the act of will ignored [Baudrillard]
28. God / B. Proving God / 2. Proofs of Reason / d. Pascal's Wager
7985 Pascal says secular life is acceptable, but more fun with the hypothesis of God [Baudrillard]