Combining Texts

All the ideas for 'Substance and Individuation in Leibniz', 'Difficulties of Transfinite Numbers and Types' and 'Letters to Burcher De Volder'

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40 ideas

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
We need rules for deciding which norms are predicative (unless none of them are) [Russell]
'Predicative' norms are those which define a class [Russell]
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]
Scholastics treat relations as two separate predicates of the relata [Cover/O'Leary-Hawthorne]
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 / a. Individuation
If you individuate things by their origin, you still have to individuate the origins themselves [Cover/O'Leary-Hawthorne]
Numerical difference is a symmetrical notion, unlike proper individuation [Cover/O'Leary-Hawthorne]
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 / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
Haecceity as property, or as colourless thisness, or as singleton set [Cover/O'Leary-Hawthorne]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Maybe 'substance' is more of a mass-noun than a count-noun [Cover/O'Leary-Hawthorne]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
We can ask for the nature of substance, about type of substance, and about individual substances [Cover/O'Leary-Hawthorne]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
The general assumption is that substances cannot possibly be non-substances [Cover/O'Leary-Hawthorne]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
Modern essences are sets of essential predicate-functions [Cover/O'Leary-Hawthorne]
Modern essentialists express essence as functions from worlds to extensions for predicates [Cover/O'Leary-Hawthorne]
9. Objects / E. Objects over Time / 1. Objects over Time
Changeable accidents are modifications of unchanging essences [Leibniz]
9. Objects / E. Objects over Time / 12. Origin as Essential
Necessity-of-origin won't distinguish ex nihilo creations, or things sharing an origin [Cover/O'Leary-Hawthorne]
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 / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
Even extreme modal realists might allow transworld identity for abstract objects [Cover/O'Leary-Hawthorne]
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 / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
We can go beyond mere causal explanations if we believe in an 'order of being' [Cover/O'Leary-Hawthorne]
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]
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]
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 / 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]