Combining Texts

All the ideas for 'fragments/reports', 'The Elements of Law' and 'Philosophy of Arithmetic'

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17 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / b. Seventeenth century philosophy
Hobbes created English-language philosophy [Hobbes, by Tuck]
     Full Idea: Hobbes created English-language philosophy.
     From: report of Thomas Hobbes (The Elements of Law [1640]) by Richard Tuck - Hobbes Pref
     A reaction: Tuck mentions Hooker as a predecessor in jurisprudence. Otherwise, an impressive label.
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
     Full Idea: Philosophy says it is not right even to stretch out a finger without some reason.
     From: Epictetus (fragments/reports [c.57], 15)
     A reaction: The key point here is that philosophy concerns action, an idea on which Epictetus is very keen. He rather despise theory. This idea perfectly sums up the concept of the wholly rational life (which no rational person would actually want to live!).
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
0 is not a number, as it answers 'how many?' negatively [Husserl, by Dummett]
     Full Idea: Husserl contends that 0 is not a number, on the grounds that 'nought' is a negative answer to the question 'how many?'.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894], p.144) by Michael Dummett - Frege philosophy of mathematics Ch.8
     A reaction: I seem to be in a tiny minority in thinking that Husserl may have a good point. One apple is different from one orange, but no apples are the same as no oranges. That makes 0 a very peculiar number. See Idea 9838.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Multiplicity in general is just one and one and one, etc. [Husserl]
     Full Idea: Multiplicity in general is no more than something and something and something, etc.; ..or more briefly, one and one and one, etc.
     From: Edmund Husserl (Philosophy of Arithmetic [1894], p.85), quoted by Gottlob Frege - Review of Husserl's 'Phil of Arithmetic'
     A reaction: Frege goes on to attack this idea fairly convincingly. It seems obvious that it is hard to say that you have seventeen items, if the only numberical concept in your possession is 'one'. How would you distinguish 17 from 16? What makes the ones 'multiple'?
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
Husserl said counting is more basic than Frege's one-one correspondence [Husserl, by Heck]
     Full Idea: Husserl famously argued that one should not explain number in terms of equinumerosity (or one-one correspondence), but should explain equinumerosity in terms of sameness of number, which should be characterised in terms of counting.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: [Heck admits he hasn't read the Husserl] I'm very sympathetic to Husserl, though nearly all modern thinking favours Frege. Counting connects numbers to their roots in the world. Mathematicians seem oblivious of such things.
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
The qualities of the world are mere appearances; reality is the motions which cause them [Hobbes]
     Full Idea: Whatsoever accidents or qualities our senses make us think there be in the world, they are not there, but are seemings and apparitions only. The things that really are in the world without us are those motions by which these seemings are caused.
     From: Thomas Hobbes (The Elements of Law [1640], I.2.10), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 10.2
     A reaction: This seems to count as a sense-datum theory, rather than a representative theory of perception, since it makes no commitment to the qualities containing any accurate information at all. We just start from the qualities and try to work it out.
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Evidence is conception, which is imagination, which proceeds from the senses [Hobbes]
     Full Idea: All evidence is conception, as it is said, and all conception is imagination and proceeds from sense. And spirits we suppose to be those substances which work not upon the sense, and therefore not conceptible.
     From: Thomas Hobbes (The Elements of Law [1640], I.11.5), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 16.2
     A reaction: This is exactly the same as Hume's claim that all ideas are the result of impressions, and is the very essence of empiricism. We see here that such an epistemology can have huge consequences.
Experience can't prove universal truths [Hobbes]
     Full Idea: Experience concludeth nothing universally.
     From: Thomas Hobbes (The Elements of Law [1640], I.4.10), quoted by Richard Tuck - Hobbes Ch.2
     A reaction: Empiricists seem proud to claim this limitation on human understanding, where rationalists like Leibniz use it as an argument against empiricism. Kripke says (e.g. Idea 4966) they are both wrong! I sympathise with Kripke.
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Husserl identifies a positive mental act of unification, and a negative mental act for differences [Husserl, by Frege]
     Full Idea: Husserl identifies a 'unitary mental act' where several contents are connected or related to one another, and also a difference-relation where two contents are related to one another by a negative judgement.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894], p.73-74) by Gottlob Frege - Review of Husserl's 'Phil of Arithmetic' p.322
     A reaction: Frege is setting this up ready for a fairly vicious attack. Where Hume has a faculty for spotting resemblances, it is not implausible that we should also be hard-wired to spot differences. 'You look different; have you changed your hair style?'
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
We clarify concepts (e.g. numbers) by determining their psychological origin [Husserl, by Velarde-Mayol]
     Full Idea: Husserl said that the clarification of any concept is made by determining its psychological origin. He is concerned with the psychological origins of the operation of calculating cardinal numbers.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894]) by Victor Velarde-Mayol - On Husserl 2.2
     A reaction: This may not be the same as the 'psychologism' that Frege so despised, because Husserl is offering a clarification, rather than the intrinsic nature of number concepts. It is not a theory of the origin of numbers.
18. Thought / E. Abstraction / 8. Abstractionism Critique
Psychologism blunders in focusing on concept-formation instead of delineating the concepts [Dummett on Husserl]
     Full Idea: Husserl substitutes his account of the process of concept-formation for a delineation of the concept. It is above all in making this substitution that psychologism is objectionable (and Frege opposed it so vehemently).
     From: comment on Edmund Husserl (Philosophy of Arithmetic [1894]) by Michael Dummett - Frege philosophy of mathematics Ch.2
     A reaction: While this is a powerful point which is a modern orthodoxy, it hardly excludes a study of concept-formation from being of great interest for other reasons. It may not appeal to logicians, but it is crucial part of the metaphysics of nature.
Husserl wanted to keep a shadowy remnant of abstracted objects, to correlate them [Dummett on Husserl]
     Full Idea: Husserl saw that abstracted units, though featureless, must in some way retain their distinctness, some shadowy remnant of their objects. So he wanted to correlate like-numbered sets, not just register their identity, but then abstractionism fails.
     From: comment on Edmund Husserl (Philosophy of Arithmetic [1894]) by Michael Dummett - Frege philosophy of mathematics Ch.12
     A reaction: Abstractionism is held to be between the devil and the deep blue sea, of depending on units which are identifiable, when they are defined as devoid of all individuality. We seem forced to say that the only distinction between them is countability.
20. Action / C. Motives for Action / 1. Acting on Desires
It is an error that reason should control the passions, which give right guidance on their own [Hobbes, by Tuck]
     Full Idea: Hobbes (and Descartes, and many contemporaries) argued that the traditional idea that reason should control the passions was an error, and that (properly understood) our emotions would guide us in the right direction.
     From: report of Thomas Hobbes (The Elements of Law [1640]) by Richard Tuck - Hobbes Ch.2
     A reaction: I'm an intellectualist on this one. It strikes me as rather naïve and romantic to think that unthinking emotion could ever consistently approach what is right. A recipe for disaster.
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Good and evil are what please us; goodness and badness the powers causing them [Hobbes]
     Full Idea: We call good and evil the things that please and displease us; and so we call goodness and badness, the qualities of powers whereby they do it.
     From: Thomas Hobbes (The Elements of Law [1640], I.7.3), quoted by Richard Tuck - Hobbes Ch.2
     A reaction: It is pointed out by Tuck that this is just like his treatment of colour terms (values as secondary qualities). I would have thought it was obvious that I could say 'x pleases me, although I disapprove of it' (e.g. black humour).
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Self-preservation is basic, and people judge differently about that, implying ethical relativism [Hobbes, by Tuck]
     Full Idea: If men are their own judges of what conduces to their preservation, ..all men make different decisions about what counts as a danger, so (for Hobbes) the grimmest version of ethical relativism seems to be the only possible ethical vision.
     From: report of Thomas Hobbes (The Elements of Law [1640]) by Richard Tuck - Hobbes Ch.2
     A reaction: This might depend on self-preservation being the only fundamental value. But if self-preservation is not a pressing issue, presumably other values might come into play, some of them less concerned with the individual's own interests.
22. Metaethics / C. The Good / 1. Goodness / c. Right and good
Hobbes shifted from talk of 'the good' to talk of 'rights' [Hobbes, by Tuck]
     Full Idea: Hobbes (like Grotius) shifted from talking about 'the good', which had been the traditional subject for both ancient and Renaissance moralists, to talking instead about 'rights'.
     From: report of Thomas Hobbes (The Elements of Law [1640]) by Richard Tuck - Hobbes Ch.2
     A reaction: This is part of the crucial shift away from the Greek interest in excellence of character, towards the Enlightenment legalistic interest in right actions, as well as social rights. Bad move, well analysed by MacIntyre.
28. God / C. Attitudes to God / 4. God Reflects Humanity
The attributes of God just show our inability to conceive his nature [Hobbes]
     Full Idea: All the attributes of God signify our inability and defect of power to conceive any thing concerning his nature.
     From: Thomas Hobbes (The Elements of Law [1640], I.10.2), quoted by Richard Tuck - Hobbes Ch.2
     A reaction: Presumably he means that 'omnipotence' should just be translated as 'mind-boggling power'. St Anselm's concept of God (Idea 1405) is helpful here, placing it at the upper limit of what can actually be conceived.