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All the ideas for 'Frege's Concept of Numbers as Objects', 'Db (lexicon)' and 'Getting Causes from Powers'

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159 ideas

1. Philosophy / B. History of Ideas / 3. Greek-English Lexicon
Agathon: good [PG]
Aisthesis: perception, sensation, consciousness [PG]
Aitia / aition: cause, explanation [PG]
Akrasia: lack of control, weakness of will [PG]
Aletheia: truth [PG]
Anamnesis: recollection, remembrance [PG]
Ananke: necessity [PG]
Antikeimenon: object [PG]
Apatheia: unemotional [PG]
Apeiron: the unlimited, indefinite [PG]
Aphairesis: taking away, abstraction [PG]
Apodeixis: demonstration [PG]
Aporia: puzzle, question, anomaly [PG]
Arche: first principle, the basic [PG]
Arete: virtue, excellence [PG]
Chronismos: separation [PG]
Diairesis: division [PG]
Dialectic: dialectic, discussion [PG]
Dianoia: intellection [cf. Noesis] [PG]
Diaphora: difference [PG]
Dikaiosune: moral goodness, justice [PG]
Doxa: opinion, belief [PG]
Dunamis: faculty, potentiality, capacity [PG]
Eidos: form, idea [PG]
Elenchos: elenchus, interrogation [PG]
Empeiron: experience [PG]
Energeia: employment, actuality, power? [PG]
Enkrateia: control [PG]
Entelecheia: entelechy, having an end [PG]
Epagoge: induction, explanation [PG]
Episteme: knowledge, understanding [PG]
Epithumia: appetite [PG]
Ergon: function [PG]
Eristic: polemic, disputation [PG]
Eros: love [PG]
Eudaimonia: flourishing, happiness, fulfilment [PG]
Genos: type, genus [PG]
Hexis: state, habit [PG]
Horismos: definition [PG]
Hule: matter [PG]
Hupokeimenon: subject, underlying thing [cf. Tode ti] [PG]
Kalos / kalon: beauty, fineness, nobility [PG]
Kath' hauto: in virtue of itself, essentially [PG]
Kinesis: movement, process [PG]
Kosmos: order, universe [PG]
Logos: reason, account, word [PG]
Meson: the mean [PG]
Metechein: partaking, sharing [PG]
Mimesis: imitation, fine art [PG]
Morphe: form [PG]
Noesis: intellection, rational thought [cf. Dianoia] [PG]
Nomos: convention, law, custom [PG]
Nous: intuition, intellect, understanding [PG]
Orexis: desire [PG]
Ousia: substance, (primary) being, [see 'Prote ousia'] [PG]
Pathos: emotion, affection, property [PG]
Phantasia: imagination [PG]
Philia: friendship [PG]
Philosophia: philosophy, love of wisdom [PG]
Phronesis: prudence, practical reason, common sense [PG]
Physis: nature [PG]
Praxis: action, activity [PG]
Prote ousia: primary being [PG]
Psuche: mind, soul, life [PG]
Sophia: wisdom [PG]
Sophrosune: moderation, self-control [PG]
Stoicheia: elements [PG]
Sullogismos: deduction, syllogism [PG]
Techne: skill, practical knowledge [PG]
Telos: purpose, end [PG]
Theoria: contemplation [PG]
Theos: god [PG]
Ti esti: what-something-is, essence [PG]
Timoria: vengeance, punishment [PG]
To ti en einai: essence, what-it-is-to-be [PG]
To ti estin: essence [PG]
Tode ti: this-such, subject of predication [cf. hupokeimenon] [PG]
1. Philosophy / C. History of Philosophy / 1. History of Philosophy
We can only learn from philosophers of the past if we accept the risk of major misrepresentation [Wright,C]
2. Reason / C. Styles of Reason / 1. Dialectic
The best way to understand a philosophical idea is to defend it [Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
The attempt to define numbers by contextual definition has been revived [Wright,C, by Fine,K]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
An expression refers if it is a singular term in some true sentences [Wright,C, by Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Number theory aims at the essence of natural numbers, giving their nature, and the epistemology [Wright,C]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
One could grasp numbers, and name sizes with them, without grasping ordering [Wright,C]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Instances of a non-sortal concept can only be counted relative to a sortal concept [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Wright thinks Hume's Principle is more fundamental to cardinals than the Peano Axioms are [Wright,C, by Heck]
There are five Peano axioms, which can be expressed informally [Wright,C]
Number truths are said to be the consequence of PA - but it needs semantic consequence [Wright,C]
What facts underpin the truths of the Peano axioms? [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Sameness of number is fundamental, not counting, despite children learning that first [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
We derive Hume's Law from Law V, then discard the latter in deriving arithmetic [Wright,C, by Fine,K]
Frege has a good system if his 'number principle' replaces his basic law V [Wright,C, by Friend]
Wright says Hume's Principle is analytic of cardinal numbers, like a definition [Wright,C, by Heck]
It is 1-1 correlation of concepts, and not progression, which distinguishes natural number [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
If numbers are extensions, Frege must first solve the Caesar problem for extensions [Wright,C]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Number platonism says that natural number is a sortal concept [Wright,C]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We can't use empiricism to dismiss numbers, if numbers are our main evidence against empiricism [Wright,C]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Treating numbers adjectivally is treating them as quantifiers [Wright,C]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Wright has revived Frege's discredited logicism [Wright,C, by Benardete,JA]
The Peano Axioms, and infinity of cardinal numbers, are logical consequences of how we explain cardinals [Wright,C]
The aim is to follow Frege's strategy to derive the Peano Axioms, but without invoking classes [Wright,C]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seemed to fail by Russell's paradox, Gödel's theorems, and non-logical axioms [Wright,C]
The standard objections are Russell's Paradox, non-logical axioms, and Gödel's theorems [Wright,C]
7. Existence / A. Nature of Existence / 2. Types of Existence
The idea that 'exist' has multiple senses is not coherent [Wright,C]
7. Existence / B. Change in Existence / 2. Processes
A process is unified as an expression of a collection of causal powers [Mumford/Anjum]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Events are essentially changes; property exemplifications are just states of affairs [Mumford/Anjum]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
Singular terms in true sentences must refer to objects; there is no further question about their existence [Wright,C]
8. Modes of Existence / B. Properties / 7. Emergent Properties
Weak emergence is just unexpected, and strong emergence is beyond all deduction [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Powers explain properties, causes, modality, events, and perhaps even particulars [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Powers offer no more explanation of nature than laws do [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Powers are not just basic forces, since they combine to make new powers [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Dispositionality is a natural selection function, picking outcomes from the range of possibilities [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
We say 'power' and 'disposition' are equivalent, but some say dispositions are manifestable [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
The simple conditional analysis of dispositions doesn't allow for possible prevention [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
Might dispositions be reduced to normativity, or to intentionality? [Mumford/Anjum]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Contextually defined abstract terms genuinely refer to objects [Wright,C, by Dummett]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Sortal concepts cannot require that things don't survive their loss, because of phase sortals [Wright,C]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
If statue and clay fall and crush someone, the event is not overdetermined [Mumford/Anjum]
9. Objects / C. Structure of Objects / 1. Structure of an Object
Pandispositionalists say structures are clusters of causal powers [Mumford/Anjum]
9. Objects / E. Objects over Time / 5. Temporal Parts
Perdurantism imposes no order on temporal parts, so sequences of events are contingent [Mumford/Anjum]
10. Modality / A. Necessity / 1. Types of Modality
Dispositionality is the core modality, with possibility and necessity as its extreme cases [Mumford/Anjum]
Dispositions may suggest modality to us - as what might not have been, and what could have been [Mumford/Anjum]
10. Modality / A. Necessity / 7. Natural Necessity
Relations are naturally necessary when they are generated by the essential mechanisms of the world [Mumford/Anjum]
10. Modality / B. Possibility / 1. Possibility
Possibility might be non-contradiction, or recombinations of the actual, or truth in possible worlds [Mumford/Anjum]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Maybe truths are necessitated by the facts which are their truthmakers [Mumford/Anjum]
12. Knowledge Sources / B. Perception / 1. Perception
We have more than five senses; balance and proprioception, for example [Mumford/Anjum]
14. Science / A. Basis of Science / 6. Falsification
Smoking disposes towards cancer; smokers without cancer do not falsify this claim [Mumford/Anjum]
14. Science / C. Induction / 1. Induction
If causation were necessary, the past would fix the future, and induction would be simple [Mumford/Anjum]
The only full uniformities in nature occur from the essences of fundamental things [Mumford/Anjum]
14. Science / C. Induction / 3. Limits of Induction
Nature is not completely uniform, and some regular causes sometimes fail to produce their effects [Mumford/Anjum]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
It is tempting to think that only entailment provides a full explanation [Mumford/Anjum]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
A structure won't give a causal explanation unless we know the powers of the structure [Mumford/Anjum]
17. Mind and Body / D. Property Dualism / 4. Emergentism
Strong emergence seems to imply top-down causation, originating in consciousness [Mumford/Anjum]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
'Sortal' concepts show kinds, use indefinite articles, and require grasping identities [Wright,C]
A concept is only a sortal if it gives genuine identity [Wright,C]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
Entities fall under a sortal concept if they can be used to explain identity statements concerning them [Wright,C]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
If we can establish directions from lines and parallelism, we were already committed to directions [Wright,C]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
A milder claim is that understanding requires some evidence of that understanding [Wright,C]
19. Language / B. Reference / 1. Reference theories
If apparent reference can mislead, then so can apparent lack of reference [Wright,C]
19. Language / C. Assigning Meanings / 3. Predicates
We can accept Frege's idea of object without assuming that predicates have a reference [Wright,C]
26. Natural Theory / C. Causation / 1. Causation
Causation by absence is not real causation, but part of our explanatory practices [Mumford/Anjum]
Causation may not be transitive. Does a fire cause itself to be extinguished by the sprinklers? [Mumford/Anjum]
26. Natural Theory / C. Causation / 4. Naturalised causation
Causation is the passing around of powers [Mumford/Anjum]
26. Natural Theory / C. Causation / 6. Causation as primitive
We take causation to be primitive, as it is hard to see how it could be further reduced [Mumford/Anjum]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Causation doesn't have two distinct relata; it is a single unfolding process [Mumford/Anjum]
A collision is a process, which involves simultaneous happenings, but not instantaneous ones [Mumford/Anjum]
Does causation need a third tying ingredient, or just two that meet, or might there be a single process? [Mumford/Anjum]
Sugar dissolving is a process taking time, not one event and then another [Mumford/Anjum]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
Privileging one cause is just an epistemic or pragmatic matter, not an ontological one [Mumford/Anjum]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Coincidence is conjunction without causation; smoking causing cancer is the reverse [Mumford/Anjum]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Is a cause because of counterfactual dependence, or is the dependence because there is a cause? [Mumford/Anjum]
Occasionally a cause makes no difference (pre-emption, perhaps) so the counterfactual is false [Mumford/Anjum]
Cases of preventing a prevention may give counterfactual dependence without causation [Mumford/Anjum]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
Nature can be interfered with, so a cause never necessitates its effects [Mumford/Anjum]
We assert causes without asserting that they necessitate their effects [Mumford/Anjum]
Necessary causation should survive antecedent strengthening, but no cause can always survive that [Mumford/Anjum]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
A 'ceteris paribus' clause implies that a conditional only has dispositional force [Mumford/Anjum]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
There may be necessitation in the world, but causation does not supply it [Mumford/Anjum]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
Laws are nothing more than descriptions of the behaviour of powers [Mumford/Anjum]
If laws are equations, cause and effect must be simultaneous (or the law would be falsified)! [Mumford/Anjum]