Combining Texts

All the ideas for 'A Conversation: what is it? What is it for?st1=Gilles Deleuze', 'Set Theory and Its Philosophy' and 'The Problem of Empty Names'

expand these ideas     |    start again     |     specify just one area for these texts

27 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
21844 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
21849 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
21845 Philosophy aims to become the official language, supporting orthodoxy and the state [Deleuze]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
21839 When I meet objections I just move on; they never contribute anything [Deleuze]
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
21841 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
21842 Don't assess ideas for truth or justice; look for another idea, and establish a relationship with it [Deleuze]
21850 Dualisms can be undone from within, by tracing connections, and drawing them to a new path [Deleuze]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10702 Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
10713 Usually the only reason given for accepting the empty set is convenience [Potter]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13044 Infinity: There is at least one limit level [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10708 Nowadays we derive our conception of collections from the dependence between them [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
13546 The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter]
4. Formal Logic / G. Formal Mereology / 1. Mereology
10707 Mereology elides the distinction between the cards in a pack and the suits [Potter]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10704 We can formalize second-order formation rules, but not inference rules [Potter]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
18946 Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer]
5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions
10703 Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter]
5. Theory of Logic / L. Paradox / 2. Aporiai
21838 Before we seek solutions, it is important to invent problems [Deleuze]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
10712 If set theory didn't found mathematics, it is still needed to count infinite sets [Potter]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17882 It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
21847 Before Being there is politics [Deleuze]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
13043 A relation is a set consisting entirely of ordered pairs [Potter]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
13042 If dependence is well-founded, with no infinite backward chains, this implies substances [Potter]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
13041 Collections have fixed members, but fusions can be carved in innumerable ways [Potter]
10. Modality / A. Necessity / 1. Types of Modality
10709 Priority is a modality, arising from collections and members [Potter]
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
21840 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
21843 People consist of many undetermined lines, some rigid, some supple, some 'lines of flight' [Deleuze]
25. Social Practice / A. Freedoms / 2. Freedom of belief
21848 Some lines (of flight) are becomings which escape the system [Deleuze]