Combining Texts

All the ideas for 'In Defense of Essentialism', 'Logicism Revisited' and 'On Nature Itself (De Ipsa Natura)'

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25 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism is a bulwark of logical positivism [Musgrave]
Formalism seems to exclude all creative, growing mathematics [Musgrave]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
'Substance theorists' take modal properties as primitive, without structure, just falling under a sortal [Paul,LA]
If an object's sort determines its properties, we need to ask what determines its sort [Paul,LA]
Substance essentialism says an object is multiple, as falling under various different sortals [Paul,LA]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Substance is a force for acting and being acted upon [Leibniz]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
Absolutely unrestricted qualitative composition would allow things with incompatible properties [Paul,LA]
9. Objects / D. Essence of Objects / 2. Types of Essence
Deep essentialist objects have intrinsic properties that fix their nature; the shallow version makes it contextual [Paul,LA]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Deep essentialists say essences constrain how things could change; modal profiles fix natures [Paul,LA]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Essentialism must deal with charges of arbitrariness, and failure to reduce de re modality [Paul,LA]
An object's modal properties don't determine its possibilities [Paul,LA]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
'Modal realists' believe in many concrete worlds, 'actualists' in just this world, 'ersatzists' in abstract other worlds [Paul,LA]
14. Science / D. Explanation / 2. Types of Explanation / h. Explanations by function
Final causes can help with explanations in physics [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
Something rather like souls (though not intelligent) could be found everywhere [Leibniz]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
There are atoms of substance, but no atoms of bulk or extension [Leibniz]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
Secondary matter is active and complete; primary matter is passive and incomplete [Leibniz]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
If there is some trace of God in things, that would explain their natural force [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
It is plausible to think substances contain the same immanent force seen in our free will [Leibniz]
28. God / C. Attitudes to God / 2. Pantheism
To say that nature or the one universal substance is God is a pernicious doctrine [Leibniz]