Combining Texts

All the ideas for 'After Finitude', 'Grundgesetze der Arithmetik 2 (Basic Laws)' and 'Letters to Burcher De Volder'

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63 ideas

1. Philosophy / B. History of Ideas / 5. Later European Thought
Since Kant we think we can only access 'correlations' between thinking and being [Meillassoux]
The Copernican Revolution decentres the Earth, but also decentres thinking from reality [Meillassoux]
1. Philosophy / B. History of Ideas / 6. Twentieth Century Thought
In Kant the thing-in-itself is unknowable, but for us it has become unthinkable [Meillassoux]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Since Kant, philosophers have claimed to understand science better than scientists do [Meillassoux]
2. Reason / A. Nature of Reason / 5. Objectivity
Since Kant, objectivity is defined not by the object, but by the statement's potential universality [Meillassoux]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
If we insist on Sufficient Reason the world will always be a mystery to us [Meillassoux]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
Non-contradiction is unjustified, so it only reveals a fact about thinking, not about reality? [Meillassoux]
2. Reason / D. Definition / 2. Aims of Definition
Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
2. Reason / D. Definition / 11. Ostensive Definition
Only what is logically complex can be defined; what is simple must be pointed to [Frege]
4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
We can allow contradictions in thought, but not inconsistency [Meillassoux]
Paraconsistent logics are to prevent computers crashing when data conflicts [Meillassoux]
Paraconsistent logic is about statements, not about contradictions in reality [Meillassoux]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Cardinals say how many, and reals give measurements compared to a unit quantity [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities [Frege, by Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
What is mathematically conceivable is absolutely possible [Meillassoux]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
A number is a class of classes of the same cardinality [Frege, by Dummett]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
Only applicability raises arithmetic from a game to a science [Frege]
7. Existence / A. Nature of Existence / 1. Nature of Existence
The absolute is the impossibility of there being a necessary existent [Meillassoux]
7. Existence / A. Nature of Existence / 5. Reason for Existence
It is necessarily contingent that there is one thing rather than another - so something must exist [Meillassoux]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
We must give up the modern criterion of existence, which is a correlation between thought and being [Meillassoux]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
Monads are not extended, but have a kind of situation in extension [Leibniz]
Only monads are substances, and bodies are collections of them [Leibniz]
7. Existence / D. Theories of Reality / 2. Realism
The division of nature into matter makes distinct appearances, and that presupposes substances [Leibniz]
The only indications of reality are agreement among phenomena, and their agreement with necessities [Leibniz]
7. Existence / D. Theories of Reality / 3. Reality
Only unities have any reality [Leibniz]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
In actual things nothing is indefinite [Leibniz]
8. Modes of Existence / A. Relations / 1. Nature of Relations
A man's distant wife dying is a real change in him [Leibniz]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
A complete monad is a substance with primitive active and passive power [Leibniz]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Derivate forces are in phenomena, but primitive forces are in the internal strivings of substances [Leibniz]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
Thought terminates in force, rather than extension [Leibniz]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
The law of the series, which determines future states of a substance, is what individuates it [Leibniz]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
9. Objects / E. Objects over Time / 1. Objects over Time
Changeable accidents are modifications of unchanging essences [Leibniz]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Things in different locations are different because they 'express' those locations [Leibniz]
In nature there aren't even two identical straight lines, so no two bodies are alike [Leibniz]
If two bodies only seem to differ in their position, those different environments will matter [Leibniz]
10. Modality / B. Possibility / 5. Contingency
Possible non-being which must be realised is 'precariousness'; absolute contingency might never not-be [Meillassoux]
10. Modality / B. Possibility / 7. Chance
The idea of chance relies on unalterable physical laws [Meillassoux]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Unlike speculative idealism, transcendental idealism assumes the mind is embodied [Meillassoux]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
The aspects of objects that can be mathematical allow it to have objective properties [Meillassoux]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Scientific truths are supported by mutual agreement, as well as agreement with the phenomena [Leibniz]
14. Science / B. Scientific Theories / 1. Scientific Theory
How can we mathematically describe a world that lacks humans? [Meillassoux]
14. Science / C. Induction / 3. Limits of Induction
Hume's question is whether experimental science will still be valid tomorrow [Meillassoux]
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
Primitive forces are internal strivings of substances, acting according to their internal laws [Leibniz]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
The transcendental subject is not an entity, but a set of conditions making science possible [Meillassoux]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
Soul represents body, but soul remains unchanged, while body continuously changes [Leibniz]
18. Thought / D. Concepts / 3. Ontology of Concepts / a. Concepts as representations
Our notions may be formed from concepts, but concepts are formed from things [Leibniz]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
Universals are just abstractions by concealing some of the circumstances [Leibniz]
The modern account of real numbers detaches a ratio from its geometrical origins [Frege]
18. Thought / E. Abstraction / 8. Abstractionism Critique
If we abstract the difference between two houses, they don't become the same house [Frege]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / c. Matter as extension
Even if extension is impenetrable, this still offers no explanation for motion and its laws [Leibniz]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
An entelechy is a law of the series of its event within some entity [Leibniz]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
If the laws of nature are contingent, shouldn't we already have noticed it? [Meillassoux]
Why are contingent laws of nature stable? [Meillassoux]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
The only permanence in things, constituting their substance, is a law of continuity [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
The force behind motion is like a soul, with its own laws of continual change [Leibniz]
27. Natural Reality / C. Space / 2. Space
Space is the order of coexisting possibles [Leibniz]
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
Time is the order of inconsistent possibilities [Leibniz]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
The ontological proof of a necessary God ensures a reality external to the mind [Meillassoux]
28. God / C. Attitudes to God / 5. Atheism
Now that the absolute is unthinkable, even atheism is just another religious belief (though nihilist) [Meillassoux]