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All the ideas for 'Reply to Fourth Objections', 'Dispositions' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'

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54 ideas

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]
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 / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
A number is a class of classes of the same cardinality [Frege, by Dummett]
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
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 / D. Theories of Reality / 2. Realism
Modest realism says there is a reality; the presumptuous view says we can accurately describe it [Mumford]
7. Existence / D. Theories of Reality / 4. Anti-realism
Anti-realists deny truth-values to all statements, and say evidence and ontology are inseparable [Mumford]
8. Modes of Existence / B. Properties / 3. Types of Properties
Dispositions and categorical properties are two modes of presentation of the same thing [Mumford]
8. Modes of Existence / B. Properties / 6. Categorical Properties
Categorical predicates are those unconnected to functions [Mumford]
Categorical properties and dispositions appear to explain one another [Mumford]
There are four reasons for seeing categorical properties as the most fundamental [Mumford]
8. Modes of Existence / B. Properties / 7. Emergent Properties
A lead molecule is not leaden, and macroscopic properties need not be microscopically present [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Dispositions are attacked as mere regularities of events, or place-holders for unknown properties [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Dispositions are classifications of properties by functional role [Mumford]
I say the categorical base causes the disposition manifestation [Mumford]
If dispositions have several categorical realisations, that makes the two separate [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
All properties must be causal powers (since they wouldn't exist otherwise) [Mumford]
Intrinsic properties are just causal powers, and identifying a property as causal is then analytic [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Dispositions are ascribed to at least objects, substances and persons [Mumford]
Unlike categorical bases, dispositions necessarily occupy a particular causal role [Mumford]
Dispositions can be contrasted either with occurrences, or with categorical properties [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
If dispositions are powers, background conditions makes it hard to say what they do [Mumford]
Maybe dispositions can replace powers in metaphysics, as what induces property change [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
Orthodoxy says dispositions entail conditionals (rather than being equivalent to them) [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / e. Dispositions as potential
Dispositions are not just possibilities - they are features of actual things [Mumford]
There could be dispositions that are never manifested [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
If every event has a cause, it is easy to invent a power to explain each case [Mumford]
Traditional powers initiate change, but are mysterious between those changes [Mumford]
Categorical eliminativists say there are no dispositions, just categorical states or mechanisms [Mumford]
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 / D. Essence of Objects / 11. Essence of Artefacts
Many artefacts have dispositional essences, which make them what they are [Mumford]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
Truth-functional conditionals can't distinguish whether they are causal or accidental [Mumford]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
Dispositions are not equivalent to stronger-than-material conditionals [Mumford]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Nomothetic explanations cite laws, and structural explanations cite mechanisms [Mumford]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
General laws depend upon the capacities of particulars, not the other way around [Mumford]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
If fragile just means 'breaks when dropped', it won't explain a breakage [Mumford]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
Maybe dispositions can replace the 'laws of nature' as the basis of explanation [Mumford]
To avoid a regress in explanations, ungrounded dispositions will always have to be posited [Mumford]
Subatomic particles may terminate explanation, if they lack structure [Mumford]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
Ontology is unrelated to explanation, which concerns modes of presentation and states of knowledge [Mumford]
17. Mind and Body / E. Mind as Physical / 6. Conceptual Dualism
The concept of mind excludes body, and vice versa [Descartes]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
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 / B. Natural Kinds / 4. Source of Kinds
Natural kinds, such as electrons, all behave the same way because we divide them by dispositions [Mumford]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
In the 'laws' view events are basic, and properties are categorical, only existing when manifested [Mumford]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
Without laws, how can a dispositionalist explain general behaviour within kinds? [Mumford]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
Dretske and Armstrong base laws on regularities between individual properties, not between events [Mumford]
It is a regularity that whenever a person sneezes, someone (somewhere) promptly coughs [Mumford]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
The necessity of an electron being an electron is conceptual, and won't ground necessary laws [Mumford]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
Some dispositions are so far unknown, until we learn how to manifest them [Mumford]