Combining Texts

All the ideas for 'On the Philosophy of Logic', 'Review of Chihara 'Struct. Accnt of Maths'' and 'Letters to Burcher De Volder'

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42 ideas

2. Reason / A. Nature of Reason / 1. On Reason
We reach 'reflective equilibrium' when intuitions and theory completely align [Fisher]
4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Three-valued logic says excluded middle and non-contradition are not tautologies [Fisher]
4. Formal Logic / E. Nonclassical Logics / 4. Fuzzy Logic
Fuzzy logic has many truth values, ranging in fractions from 0 to 1 [Fisher]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Classical logic is: excluded middle, non-contradiction, contradictions imply all, disjunctive syllogism [Fisher]
5. Theory of Logic / C. Ontology of Logic / 2. Platonism in Logic
Logic formalizes how we should reason, but it shouldn't determine whether we are realists [Fisher]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
Abstract algebra concerns relations between models, not common features of all the models [Burgess]
How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
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]
7. Existence / D. Theories of Reality / 10. Vagueness / g. Degrees of vagueness
We could make our intuitions about heaps precise with a million-valued logic [Fisher]
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
Vagueness can involve components (like baldness), or not (like boredom) [Fisher]
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]
If two bodies only seem to differ in their position, those different environments will matter [Leibniz]
In nature there aren't even two identical straight lines, so no two bodies are alike [Leibniz]
10. Modality / B. Possibility / 1. Possibility
We can't explain 'possibility' in terms of 'possible' worlds [Fisher]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
If all truths are implied by a falsehood, then not-p might imply both q and not-q [Fisher]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
In relevance logic, conditionals help information to flow from antecedent to consequent [Fisher]
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]
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]