Combining Philosophers

All the ideas for Protagoras, Stephen Mumford and Thomas Hofweber

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134 ideas

1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
Science studies phenomena, but only metaphysics tells us what exists [Mumford]
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is (supposedly) first the ontology, then in general what things are like [Hofweber]
1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Esoteric metaphysics aims to be top science, investigating ultimate reality [Hofweber]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
Science has discovered properties of things, so there are properties - so who needs metaphysics? [Hofweber]
'Fundamentality' is either a superficial idea, or much too obscure [Hofweber]
2. Reason / A. Nature of Reason / 1. On Reason
Many forms of reasoning, such as extrapolation and analogy, are useful but deductively invalid [Mumford]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
'It's true that Fido is a dog' conjures up a contrast class, of 'it's false' or 'it's unlikely' [Hofweber]
3. Truth / H. Deflationary Truth / 3. Minimalist Truth
Instances of minimal truth miss out propositions inexpressible in current English [Hofweber]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Since properties can have properties, some theorists rank them in 'types' [Hofweber]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
Maybe not even names are referential, but are just by used by speakers to refer [Hofweber]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
An adjective contributes semantically to a noun phrase [Hofweber]
'Singular terms' are not found in modern linguistics, and are not the same as noun phrases [Hofweber]
If two processes are said to be identical, that doesn't make their terms refer to entities [Hofweber]
5. Theory of Logic / G. Quantification / 1. Quantification
The quantifier in logic is not like the ordinary English one (which has empty names, non-denoting terms etc) [Hofweber]
The inferential quantifier focuses on truth; the domain quantifier focuses on reality [Hofweber]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Quantifiers for domains and for inference come apart if there are no entities [Hofweber]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Quantification can't all be substitutional; some reference is obviously to objects [Hofweber]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
No perceptible object is truly straight or curved [Protagoras]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
What is the relation of number words as singular-terms, adjectives/determiners, and symbols? [Hofweber]
'2 + 2 = 4' can be read as either singular or plural [Hofweber]
Numbers are used as singular terms, as adjectives, and as symbols [Hofweber]
The Amazonian Piraha language is said to have no number words [Hofweber]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
The fundamental theorem of arithmetic is that all numbers are composed uniquely of primes [Hofweber]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
How can words be used for counting if they are objects? [Hofweber]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Why is arithmetic hard to learn, but then becomes easy? [Hofweber]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Arithmetic is not about a domain of entities, as the quantifiers are purely inferential [Hofweber]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
Arithmetic doesn’t simply depend on objects, since it is true of fictional objects [Hofweber]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
We might eliminate adjectival numbers by analysing them into blocks of quantifiers [Hofweber]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Logicism makes sense of our ability to know arithmetic just by thought [Hofweber]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Neo-Fregeans are dazzled by a technical result, and ignore practicalities [Hofweber]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
First-order logic captures the inferential relations of numbers, but not the semantics [Hofweber]
7. Existence / A. Nature of Existence / 1. Nature of Existence
For Humeans the world is a world primarily of events [Mumford]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Supervenience offers little explanation for things which necessarily go together [Hofweber]
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 / 3. Reality
Reality can be seen as the totality of facts, or as the totality of things [Hofweber]
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]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
There are probably ineffable facts, systematically hidden from us [Hofweber]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Since properties have properties, there can be a typed or a type-free theory of them [Hofweber]
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 properties and dispositions appear to explain one another [Mumford]
There are four reasons for seeing categorical properties as the most fundamental [Mumford]
Categorical predicates are those unconnected to functions [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]
Properties are just natural clusters of powers [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
I say the categorical base causes the disposition manifestation [Mumford]
Dispositions are classifications of properties by functional role [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]
Dispositions can be contrasted either with occurrences, or with categorical properties [Mumford]
Unlike categorical bases, dispositions necessarily occupy a particular causal role [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]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
A 'porridge' nominalist thinks we just divide reality in any way that suits us [Mumford]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
If properties are clusters of powers, this can explain why properties resemble in degrees [Mumford]
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
Our perceptual beliefs are about ordinary objects, not about simples arranged chair-wise [Hofweber]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Substances, unlike aggregates, can survive a change of parts [Mumford]
9. Objects / D. Essence of Objects / 11. Essence of Artefacts
Many artefacts have dispositional essences, which make them what they are [Mumford]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
How can we show that a universally possessed property is an essential property? [Mumford]
10. Modality / B. Possibility / 3. Combinatorial possibility
Maybe possibilities are recombinations of the existing elements of reality [Mumford]
Combinatorial possibility has to allow all elements to be combinable, which seems unlikely [Mumford]
Combinatorial possibility relies on what actually exists (even over time), but there could be more [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]
10. Modality / B. Possibility / 9. Counterfactuals
Counterfactuals are essential for planning, and learning from mistakes [Hofweber]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Everything that exists consists in being perceived [Protagoras]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Protagoras was the first to claim that there are two contradictory arguments about everything [Protagoras, by Diog. Laertius]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Man is the measure of all things - of things that are, and of things that are not [Protagoras]
There is no more purely metaphysical doctrine than Protagorean relativism [Benardete,JA on Protagoras]
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
If my hot wind is your cold wind, then wind is neither hot nor cold, and so not as cold as itself [Benardete,JA on Protagoras]
You can only state the problem of the relative warmth of an object by agreeing on the underlying object [Benardete,JA on Protagoras]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
God is "the measure of all things", more than any man [Plato on Protagoras]
Protagoras absurdly thought that the knowing or perceiving man is 'the measure of all things' [Aristotle on Protagoras]
Relativists think if you poke your eye and see double, there must be two things [Aristotle on Protagoras]
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
Subatomic particles may terminate explanation, if they lack structure [Mumford]
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]
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]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
Our minds are at their best when reasoning about objects [Hofweber]
19. Language / A. Nature of Meaning / 1. Meaning
The "Fido"-Fido theory of meaning says every expression in a language has a referent [Hofweber]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
Inferential role semantics is an alternative to semantics that connects to the world [Hofweber]
19. Language / C. Assigning Meanings / 1. Syntax
Syntactic form concerns the focus of the sentence, as well as the truth-conditions [Hofweber]
19. Language / C. Assigning Meanings / 3. Predicates
Properties can be expressed in a language despite the absence of a single word for them [Hofweber]
'Being taller than this' is a predicate which can express many different properties [Hofweber]
19. Language / C. Assigning Meanings / 4. Compositionality
Compositonality is a way to build up the truth-conditions of a sentence [Hofweber]
19. Language / D. Propositions / 1. Propositions
Proposition have no content, because they are content [Hofweber]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Without propositions there can be no beliefs or desires [Hofweber]
19. Language / D. Propositions / 3. Concrete Propositions
Do there exist thoughts which we are incapable of thinking? [Hofweber]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
'Semantic type coercion' is selecting the reading of a word to make the best sense [Hofweber]
19. Language / F. Communication / 5. Pragmatics / b. Implicature
'Background deletion' is appropriately omitting background from an answer [Hofweber]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
Holism says language can't be translated; the expressibility hypothesis says everything can [Hofweber]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Early sophists thought convention improved nature; later they said nature was diminished by it [Protagoras, by Miller,FD]
23. Ethics / B. Contract Ethics / 1. Contractarianism
For Protagoras the only bad behaviour is that which interferes with social harmony [Protagoras, by Roochnik]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Protagoras contradicts himself by saying virtue is teachable, but then that it is not knowledge [Plato on Protagoras]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Protagoras seems to have made the huge move of separating punishment from revenge [Protagoras, by Vlastos]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
Successful education must go deep into the soul [Protagoras]
25. Social Practice / E. Policies / 5. Education / b. Education principles
He spent public money on education, as it benefits the individual and the state [Protagoras, by Diodorus of Sicily]
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 / C. Causation / 1. Causation
Causation interests us because we want to explain change [Mumford]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Singular causes, and identities, might be necessary without falling under a law [Mumford]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
We can give up the counterfactual account if we take causal language at face value [Mumford]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
It is only properties which are the source of necessity in the world [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]
There are four candidates for the logical form of law statements [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
It is a regularity that whenever a person sneezes, someone (somewhere) promptly coughs [Mumford]
Dretske and Armstrong base laws on regularities between individual properties, not between events [Mumford]
Regularities are more likely with few instances, and guaranteed with no instances! [Mumford]
Would it count as a regularity if the only five As were also B? [Mumford]
Pure regularities are rare, usually only found in idealized conditions [Mumford]
Regularity laws don't explain, because they have no governing role [Mumford]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
The best systems theory says regularities derive from laws, rather than constituting them [Mumford]
If the best system describes a nomological system, the laws are in nature, not in the description [Mumford]
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
Laws of nature are necessary relations between universal properties, rather than about particulars [Mumford]
If laws can be uninstantiated, this favours the view of them as connecting universals [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 / c. Essence and laws
Laws of nature are just the possession of essential properties by natural kinds [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]
To distinguish accidental from essential properties, we must include possible members of kinds [Mumford]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
There are no laws of nature in Aristotle; they became standard with Descartes and Newton [Mumford]
The Central Dilemma is how to explain an internal or external view of laws which govern [Mumford]
You only need laws if you (erroneously) think the world is otherwise inert [Mumford]
28. God / C. Attitudes to God / 5. Atheism
He said he didn't know whether there are gods - but this is the same as atheism [Diogenes of Oen. on Protagoras]