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All the ideas for 'A Conversation: what is it? What is it for?st1=Gilles Deleuze', 'Calculus Ratiocinator' and 'Logic in Mathematics'

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33 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]
2. Reason / D. Definition / 3. Types of Definition
A 'constructive' (as opposed to 'analytic') definition creates a new sign [Frege]
2. Reason / D. Definition / 10. Stipulative Definition
Frege suggested that mathematics should only accept stipulative definitions [Frege, by Gupta]
2. Reason / E. Argument / 6. Conclusive Proof
We must be clear about every premise and every law used in a proof [Frege]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic not only proves things, but also reveals logical relations between them [Frege]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege]
The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
'Theorems' are both proved, and used in proofs [Frege]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Tracing inference backwards closes in on a small set of axioms and postulates [Frege]
The essence of mathematics is the kernel of primitive truths on which it rests [Frege]
A truth can be an axiom in one system and not in another [Frege]
Axioms are truths which cannot be doubted, and for which no proof is needed [Frege]
5. Theory of Logic / L. Paradox / 2. Aporiai
Before we seek solutions, it is important to invent problems [Deleuze]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
To create order in mathematics we need a full system, guided by patterns of inference [Frege]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
If principles are provable, they are theorems; if not, they are axioms [Frege]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
Before Being there is politics [Deleuze]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
A whole is just its parts, but there are no smallest parts, so only minds and perceptions exist [Leibniz]
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]
18. Thought / B. Mechanics of Thought / 5. Mental Files
We need definitions to cram retrievable sense into a signed receptacle [Frege]
We use signs to mark receptacles for complex senses [Frege]
19. Language / A. Nature of Meaning / 6. Meaning as Use
A sign won't gain sense just from being used in sentences with familiar components [Frege]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Thoughts are not subjective or psychological, because some thoughts are the same for us all [Frege]
A thought is the sense expressed by a sentence, and is what we prove [Frege]
19. Language / D. Propositions / 5. Unity of Propositions
The parts of a thought map onto the parts of a sentence [Frege]
25. Social Practice / A. Freedoms / 2. Freedom of belief
Some lines (of flight) are becomings which escape the system [Deleuze]