Combining Texts

All the ideas for 'Commentary on Sentences', 'Set Theory' and 'Interview with Baggini and Stangroom'

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23 ideas

1. Philosophy / D. Nature of Philosophy / 8. Humour
Humour is practically enacted philosophy [Critchley]
Humour can give a phenomenological account of existence, and point to change [Critchley]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Scientism is the view that everything can be explained causally through scientific method [Critchley]
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
German idealism aimed to find a unifying principle for Kant's various dualisms [Critchley]
Since Hegel, continental philosophy has been linked with social and historical enquiry. [Critchley]
Continental philosophy fights the threatened nihilism in the critique of reason [Critchley]
Continental philosophy is based on critique, praxis and emancipation [Critchley]
Continental philosophy has a bad tendency to offer 'one big thing' to explain everything [Critchley]
1. Philosophy / H. Continental Philosophy / 2. Phenomenology
Phenomenology is a technique of redescription which clarifies our social world [Critchley]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
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
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
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
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
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
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
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
Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
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
Constructibility: V = L (all sets are constructible) [Kunen]
8. Modes of Existence / B. Properties / 8. Properties as Modes
Accidents always remain suited to a subject [Bonaventura]
9. Objects / E. Objects over Time / 6. Successive Things
Successive things reduce to permanent things [Bonaventura]
23. Ethics / F. Existentialism / 2. Nihilism
Perceiving meaninglessness is an achievement, which can transform daily life [Critchley]