Combining Texts

All the ideas for 'Set Theory', 'Capitalism and Community' and 'A Conversation: what is it? What is it for?'

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28 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
The history of philosophy is an agent of power: how can you think if you haven't read the great names? [Deleuze]
1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Thought should be thrown like a stone from a war-machine [Deleuze]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy aims to become the official language, supporting orthodoxy and the state [Deleuze]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
When I meet objections I just move on; they never contribute anything [Deleuze]
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
We must create new words, and treat them as normal, and as if designating real things. [Deleuze]
2. Reason / C. Styles of Reason / 1. Dialectic
Don't assess ideas for truth or justice; look for another idea, and establish a relationship with it [Deleuze]
Dualisms can be undone from within, by tracing connections, and drawing them to a new path [Deleuze]
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]
5. Theory of Logic / L. Paradox / 2. Aporiai
Before we seek solutions, it is important to invent problems [Deleuze]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
Before Being there is politics [Deleuze]
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
A meeting of man and animal can be deterritorialization (like a wasp with an orchid) [Deleuze]
16. Persons / E. Rejecting the Self / 1. Self as Indeterminate
People consist of many undetermined lines, some rigid, some supple, some 'lines of flight' [Deleuze]
24. Political Theory / D. Ideologies / 11. Capitalism
Capitalism may actually be the best way to foster community [Conway,D]
Capitalism is just the market, with optional limited government, and perhaps democracy [Conway,D]
Capitalism prefers representative democracy, which avoids community decision-making [Conway,D]
Capitalism breaks up extended families, and must then provide welfare for the lonely people [Conway,D]
Capitalism is anti-community, by only valuing individuals, and breaking up families [Conway,D]
25. Social Practice / A. Freedoms / 2. Freedom of belief
Some lines (of flight) are becomings which escape the system [Deleuze]