Combining Philosophers

All the ideas for Eubulides, Mark Colyvan and Brian Ellis

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131 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics aims at the simplest explanation, without regard to testability [Ellis]
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Ontology should give insight into or an explanation of the world revealed by science [Ellis]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Essentialism says metaphysics can't be done by analysing unreliable language [Ellis]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
Real possibility and necessity has the logic of S5, which links equivalence classes of worlds of the same kind [Ellis]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Rejecting double negation elimination undermines reductio proofs [Colyvan]
Showing a disproof is impossible is not a proof, so don't eliminate double negation [Colyvan]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
We can base logic on acceptability, and abandon the Fregean account by truth-preservation [Ellis]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Excluded middle says P or not-P; bivalence says P is either true or false [Colyvan]
5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism
Humean conceptions of reality drive the adoption of extensional logic [Ellis]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Axioms are 'categorical' if all of their models are isomorphic [Colyvan]
5. Theory of Logic / L. Paradox / 1. Paradox
If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinal numbers represent order relations [Colyvan]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Intuitionists only accept a few safe infinities [Colyvan]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
Infinitesimals were sometimes zero, and sometimes close to zero [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Mathematics is the formal study of the categorical dimensions of things [Ellis]
Reducing real numbers to rationals suggested arithmetic as the foundation of maths [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
Transfinite induction moves from all cases, up to the limit ordinal [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Most mathematical proofs are using set theory, but without saying so [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism say only 'up to isomorphism' matters because that is all there is to it [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If 'in re' structures relies on the world, does the world contain rich enough structures? [Colyvan]
7. Existence / B. Change in Existence / 2. Processes
Objects and substances are a subcategory of the natural kinds of processes [Ellis]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
A physical event is any change of distribution of energy [Ellis]
8. Modes of Existence / B. Properties / 1. Nature of Properties
The extension of a property is a contingent fact, so cannot be the essence of the property [Ellis]
8. Modes of Existence / B. Properties / 3. Types of Properties
Properties are 'dispositional', or 'categorical' (the latter as 'block' or 'intrinsic' structures) [Ellis, by PG]
8. Modes of Existence / B. Properties / 5. Natural Properties
There is no property of 'fragility', as things are each fragile in a distinctive way [Ellis]
Physical properties are those relevant to how a physical system might act [Ellis]
8. Modes of Existence / B. Properties / 6. Categorical Properties
Typical 'categorical' properties are spatio-temporal, such as shape [Ellis]
The property of 'being an electron' is not of anything, and only electrons could have it [Ellis]
The passive view of nature says categorical properties are basic, but others say dispositions [Ellis]
I support categorical properties, although most people only want causal powers [Ellis]
Essentialism needs categorical properties (spatiotemporal and numerical relations) and dispositions [Ellis]
Spatial, temporal and numerical relations have causal roles, without being causal [Ellis]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
'Being a methane molecule' is not a property - it is just a predicate [Ellis]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Properties and relations are discovered, so they can't be mere sets of individuals [Ellis]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Redness is not a property as it is not mind-independent [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Space, time, and some other basics, are not causal powers [Ellis]
Causal powers must necessarily act the way they do [Ellis]
Causal powers are often directional (e.g. centripetal, centrifugal, circulatory) [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Causal powers can't rest on things which lack causal power [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Basic powers may not be explained by structure, if at the bottom level there is no structure [Ellis]
Maybe dispositions can be explained by intrinsic properties or structures [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Properties have powers; they aren't just ways for logicians to classify objects [Ellis]
Categoricals exist to influence powers. Such as structures, orientations and magnitudes [Ellis, by Williams,NE]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
The most fundamental properties of nature (mass, charge, spin ...) all seem to be dispositions [Ellis]
Nearly all fundamental properties of physics are dispositional [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
A causal power is a disposition to produce forces [Ellis]
Powers are dispositions of the essences of kinds that involve them in causation [Ellis]
Causal powers are a proper subset of the dispositional properties [Ellis]
8. Modes of Existence / D. Universals / 1. Universals
Universals are all types of natural kind [Ellis]
There are 'substantive' (objects of some kind), 'dynamic' (events of some kind) and 'property' universals [Ellis]
9. Objects / C. Structure of Objects / 1. Structure of an Object
Categorical properties depend only on the structures they represent [Ellis]
9. Objects / D. Essence of Objects / 1. Essences of Objects
Kripke and others have made essentialism once again respectable [Ellis]
9. Objects / D. Essence of Objects / 2. Types of Essence
'Individual essences' fix a particular individual, and 'kind essences' fix the kind it belongs to [Ellis]
9. Objects / D. Essence of Objects / 3. Individual Essences
Scientific essentialism doesn't really need Kripkean individual essences [Ellis]
9. Objects / D. Essence of Objects / 5. Essence as Kind
A real essence is a kind's distinctive properties [Ellis]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Essential properties are usually quantitatively determinate [Ellis]
9. Objects / D. Essence of Objects / 13. Nominal Essence
'Real essence' makes it what it is; 'nominal essence' makes us categorise it a certain way [Ellis]
9. Objects / D. Essence of Objects / 15. Against Essentialism
The old idea that identity depends on essence and behaviour is rejected by the empiricists [Ellis]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
One thing can look like something else, without being the something else [Ellis]
10. Modality / A. Necessity / 3. Types of Necessity
Necessities are distinguished by their grounds, not their different modalities [Ellis]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity holds between things in the world and things they make true [Ellis]
10. Modality / B. Possibility / 1. Possibility
Scientific essentialists say science should define the limits of the possible [Ellis]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Metaphysical necessities are those depending on the essential nature of things [Ellis]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
Essentialists deny possible worlds, and say possibilities are what is compatible with the actual world [Ellis]
10. Modality / C. Sources of Modality / 6. Necessity from Essence
Individual essences necessitate that individual; natural kind essences necessitate kind membership [Ellis]
Metaphysical necessities are true in virtue of the essences of things [Ellis]
10. Modality / D. Knowledge of Modality / 3. A Posteriori Necessary
Essentialists say natural laws are in a new category: necessary a posteriori [Ellis]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Imagination tests what is possible for all we know, not true possibility [Ellis]
10. Modality / E. Possible worlds / 1. Possible Worlds / c. Possible worlds realism
Possible worlds realism is only needed to give truth conditions for modals and conditionals [Ellis]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Essentialists mostly accept the primary/secondary qualities distinction [Ellis]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Primary qualities are number, figure, size, texture, motion, configuration, impenetrability and (?) mass [Ellis]
14. Science / B. Scientific Theories / 2. Aim of Science
Science aims to explain things, not just describe them [Ellis]
14. Science / C. Induction / 3. Limits of Induction
If events are unconnected, then induction cannot be solved [Ellis]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Emeralds are naturally green, and only an external force could turn them blue [Ellis]
14. Science / C. Induction / 6. Bayes's Theorem
Probability supports Bayesianism better as degrees of belief than as ratios of frequencies [Colyvan]
14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
Good explanations unify [Ellis]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Mathematics can reveal structural similarities in diverse systems [Colyvan]
14. Science / D. Explanation / 2. Types of Explanation / f. Necessity in explanations
Essentialists don't infer from some to all, but from essences to necessary behaviour [Ellis]
Mathematics can show why some surprising events have to occur [Colyvan]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Explanations of particular events are not essentialist, as they don't reveal essential structures [Ellis]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
To give essentialist explanations there have to be natural kinds [Ellis]
14. Science / D. Explanation / 2. Types of Explanation / m. Explanation by proof
Reductio proofs do not seem to be very explanatory [Colyvan]
If inductive proofs hold because of the structure of natural numbers, they may explain theorems [Colyvan]
Can a proof that no one understands (of the four-colour theorem) really be a proof? [Colyvan]
Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
Mathematical generalisation is by extending a system, or by abstracting away from it [Colyvan]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
The point of models in theories is not to idealise, but to focus on what is essential [Ellis]
19. Language / C. Assigning Meanings / 3. Predicates
Predicates assert properties, values, denials, relations, conventions, existence and fabrications [Ellis, by PG]
20. Action / B. Preliminaries of Action / 2. Willed Action / c. Agent causation
Regularity theories of causation cannot give an account of human agency [Ellis]
20. Action / C. Motives for Action / 1. Acting on Desires
Humans have variable dispositions, and also power to change their dispositions [Ellis]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Essentialism fits in with Darwinism, but not with extreme politics of left or right [Ellis]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Natural kinds are of objects/substances, or events/processes, or intrinsic natures [Ellis]
The natural kinds are objects, processes and properties/relations [Ellis]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
There are natural kinds of processes [Ellis]
26. Natural Theory / B. Natural Kinds / 3. Knowing Kinds
There might be uninstantiated natural kinds, such as transuranic elements which have never occurred [Ellis]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
Natural kinds are distinguished by resting on essences [Ellis]
Essentialism says natural kinds are fundamental to nature, and determine the laws [Ellis]
Natural kind structures go right down to the bottom level [Ellis]
26. Natural Theory / B. Natural Kinds / 6. Necessity of Kinds
For essentialists two members of a natural kind must be identical [Ellis]
The whole of our world is a natural kind, so all worlds like it necessarily have the same laws [Ellis]
26. Natural Theory / B. Natural Kinds / 7. Critique of Kinds
If there are borderline cases between natural kinds, that makes them superficial [Ellis]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
Essentialists regard inanimate objects as genuine causal agents [Ellis]
Essentialists believe causation is necessary, resulting from dispositions and circumstances [Ellis]
A general theory of causation is only possible in an area if natural kinds are involved [Ellis]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
For 'passivists' behaviour is imposed on things from outside [Ellis]
The laws of nature imitate the hierarchy of natural kinds [Ellis]
Laws of nature tend to describe ideal things, or ideal circumstances [Ellis]
We must explain the necessity, idealisation, ontology and structure of natural laws [Ellis]
Laws don't exist in the world; they are true of the world [Ellis]
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
Least action is not a causal law, but a 'global law', describing a global essence [Ellis]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
Laws of nature are just descriptions of how things are disposed to behave [Ellis]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
Causal relations cannot be reduced to regularities, as they could occur just once [Ellis]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
A proton must have its causal role, because without it it wouldn't be a proton [Ellis]
What is most distinctive of scientific essentialism is regarding processes as natural kinds [Ellis]
Scientific essentialism is more concerned with explanation than with identity (Locke, not Kripke) [Ellis]
The ontological fundamentals are dispositions, and also categorical (spatio-temporal and structural) properties [Ellis]
Essentialists say dispositions are basic, rather than supervenient on matter and natural laws [Ellis]
The essence of uranium is its atomic number and its electron shell [Ellis]
A species requires a genus, and its essence includes the essence of the genus [Ellis]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
A primary aim of science is to show the limits of the possible [Ellis]
For essentialists, laws of nature are metaphysically necessary, being based on essences of natural kinds [Ellis]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
A hierarchy of natural kinds is elaborate ontology, but needed to explain natural laws [Ellis]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
Essentialism requires a clear separation of semantics, epistemology and ontology [Ellis]
Without general principles, we couldn't predict the behaviour of dispositional properties [Ellis]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
I deny forces as entities that intervene in causation, but are not themselves causal [Ellis]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
Energy is the key multi-valued property, vital to scientific realism [Ellis]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
Simultaneity can be temporal equidistance from the Big Bang [Ellis]
27. Natural Reality / D. Time / 3. Parts of Time / e. Present moment
The present is the collapse of the light wavefront from the Big Bang [Ellis]