23 ideas
| 17867 | If a concept is not compact, it will not be presentable to finite minds [Almog] |
| Full Idea: If the notion of 'logically following' in your language is not compact, it will not be locally presentable to finite minds. | |
| From: Joseph Almog (Nature Without Essence [2010], 02) |
| 17877 | The number series is primitive, not the result of some set theoretic axioms [Almog] |
| Full Idea: On Skolem's account, to 'get' the natural numbers - that primal structure - do not 'look for it' as the satisfier of some abstract (set-theoretic) axiomatic essence; start with that primitive structure. | |
| From: Joseph Almog (Nature Without Essence [2010], 12) | |
| A reaction: [Skolem 1922 and 1923] Almog says the numbers are just 0,1,2,3,4..., and not some underlying axioms. That makes it sound as if they have nothing in common, and that the successor relation is a coincidence. |
| 10502 | We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P] |
| Full Idea: I can start with a triangle, and rise by degrees to all straight-lined figures and to extension itself. The lower degree will include the higher degree. Since the higher degree is less determinate, it can represent more things. | |
| From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5) | |
| A reaction: [compressed] This attempts to explain the generalising ability of abstraction cited in Idea 10501. If you take a complex object and eliminate features one by one, it can only 'represent' more particulars; it could hardly represent fewer. |
| 17871 | Fregean meanings are analogous to conceptual essence, defining a kind [Almog] |
| Full Idea: Ever since Frege, semantic definitionalists have posited a meaning ('sinn') for a name; the meaning/sinn is their semantic analog to the conceptual essence, as ontologically defining of the kind. | |
| From: Joseph Almog (Nature Without Essence [2010], 07) |
| 17866 | Essential definition aims at existence conditions and structural truths [Almog] |
| Full Idea: The essentialist encapsulating formula is meant to be existence-exhaustive (an attribute the satisfaction of which is logically necessary and sufficient to be the thing) and truth-exhaustive (promising all the structural truths). | |
| From: Joseph Almog (Nature Without Essence [2010], 01) | |
| A reaction: [compressed] If he thinks essentialism means that one short phrase can achieve all this, then it is not surprising that Almog renounces his former essentialism in this essay. He may, however, have misunderstood. He should reread Aristotle. |
| 17868 | Surface accounts aren't exhaustive as they always allow unintended twin cases [Almog] |
| Full Idea: A surface-functional characterisation is not exhaustive. It allows unintended twins, alien intruders with different structures - water lookalikes that are not H2O and lookalike infinite structures that are not the natural numbers. | |
| From: Joseph Almog (Nature Without Essence [2010], 03) | |
| A reaction: He rests this on the claim in mathematical logic that fully expressive systems are always non-categorical (having unintended twins). Set theory is not fully categorical, but Peano Arithmetic is. Almog's main anti-essentialist argument. |
| 17872 | Definitionalists rely on snapshot-concepts, instead of on the real processes [Almog] |
| Full Idea: The definitionalist errs by abstracting away from differences cosmic processes, freezing real, dynamic processes in snapshot-concepts. | |
| From: Joseph Almog (Nature Without Essence [2010], 08) | |
| A reaction: You could hardly do science at all if you didn't 'abstract away from the differences in cosmic processes'. We can't write about sea-waves, because they all differ slightly? 'Electron' is a snapshot concept. |
| 17870 | Alien 'tigers' can't be tigers if they are not related to our tigers [Almog] |
| Full Idea: Animals roaming jungles on some planet at the other end of the galaxy with the tiger-look and the tiger genetic make-up but with a disjoint evolutionary history are not the same species as the earthly tigers. | |
| From: Joseph Almog (Nature Without Essence [2010], 10) | |
| A reaction: I disagree. If two independent cultures build boats, they are both boats. If we manufacture a tiger which can breed with other tigers, we've made a tiger. His 'tigers' would scream for explanation, precisely because they are tigers. If not, no puzzle. |
| 17869 | Kripke and Putnam offer an intermediary between real and nominal essences [Almog] |
| Full Idea: Kripke and Putnam offer us enhanced essences, still formulable in one short sentence and locally graspable. They offer between Locke's mind-boggling definitive real essence and his mind-friendly but not definitive nominal essence. | |
| From: Joseph Almog (Nature Without Essence [2010], 04) | |
| A reaction: The solution is to add a 'deep structure' which serves both ends. |
| 17876 | Individual essences are just cobbled together classificatory predicates [Almog] |
| Full Idea: The key for the essentialist is classificatory predication. It is only a subsequent extension of this prime idea that leads us to cobble together enough such essential predications to make an individuative essential property. | |
| From: Joseph Almog (Nature Without Essence [2010], 11) | |
| A reaction: So the essence is just a cross-reference of all the ways we can think of to classify it? I don't think so. Which are the essential classifications? |
| 18258 | We can only know the exterior world via our ideas [Arnauld,A/Nicole,P] |
| Full Idea: We can have knowledge of what is outside us only through the mediation of ideas in us. | |
| From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], p.63), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 1 'Conc' |
| 16784 | Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P] |
| Full Idea: The form is what renders a thing such and distinguishes it from others, whether it is a being really distinct from the matter, according to the Schools, or whether it is only the arrangement of the parts. By this form one must explain its properties. | |
| From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], III.18 p240), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 27.6 | |
| A reaction: If we ask 'what explains the properties of this thing' it is hard to avoid coming up with something that might be called the 'form'. Note that they allow either substantial or corpuscularian forms. It is hard to disagree with the idea. |
| 10499 | We know by abstraction because we only understand composite things a part at a time [Arnauld,A/Nicole,P] |
| Full Idea: The mind cannot perfectly understand things that are even slightly composite unless it considers them a part at a time. ...This is generally called knowing by abstraction. (..the human body, for example). | |
| From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5) | |
| A reaction: This adds the interesting thought that the mind is forced to abstract, rather than abstraction being a luxury extra feature. Knowledge through analysis is knowledge by abstraction. Also a nice linking of abstraction to epistemology. |
| 10501 | A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P] |
| Full Idea: If I draw an equilateral triangle on a piece of paper, ..I shall have an idea of only a single triangle. But if I ignore all the particular circumstances and focus on the three equal lines, I will be able to represent all equilateral triangles. | |
| From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5) | |
| A reaction: [compressed] They observed that we grasp composites through their parts, and now that we can grasp generalisations through particulars, both achieved by the psychological act of abstraction, thus showing its epistemological power. |
| 10500 | No one denies that a line has width, but we can just attend to its length [Arnauld,A/Nicole,P] |
| Full Idea: Geometers by no means assume that there are lines without width or surfaces without depth. They only think it is possible to consider the length without paying attention to the width. We can measure the length of a path without its width. | |
| From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5) | |
| A reaction: A nice example which makes the point indubitable. The modern 'rigorous' account of abstraction that starts with Frege seems to require more than one object, in order to derive abstractions like direction or number. Path widths are not comparatives. |
| 17873 | Water must be related to water, just as tigers must be related to tigers [Almog] |
| Full Idea: It is a blindspot to say that to be a tiger one must come from tigers, but to be water one needn't come from water. ...The error lies in not appreciating that to be water one still must come from somewhere in the cosmos, indeed, from hydrogen and oxygen. | |
| From: Joseph Almog (Nature Without Essence [2010], 09) | |
| A reaction: A unified picture is indeed desirable, but a better solution is to say that the essence of a tiger is in its structure, not in its origins. There are many ways to produce an artefact. There could be many ways to produce a tiger. |
| 9261 | The 'Ethics' is disappointing, because it fails to try to justify our duties [Prichard] |
| Full Idea: Reading the 'Ethics' is so disappointing, because Aristotle does not try to convince us that we really ought to do what our non-reflective consciousness has hitherto believed we ought to do. | |
| From: H.A. Prichard (Does moral phil rest on a mistake? [1912]) | |
| A reaction: Aristotle didn't speak the language of 'duty' (see Idea 2172), but he could work it into his account if Prichard asked nicely. I take the truly virtuous person to be, above all, a wonderful citizen. Duties are contractual; good deeds flow from virtue. |
| 9262 | The mistake is to think we can prove what can only be seen directly in moral thinking [Prichard] |
| Full Idea: Moral Philosophy rests on the mistake of supposing the possibility of proving what can only be apprehended directly by an act of moral thinking. | |
| From: H.A. Prichard (Does moral phil rest on a mistake? [1912]) | |
| A reaction: This is a beginning of the rebellion against the Enlightenment Project in ethics, which is why Prichard has become popular. At bottom he is offering intuition ('direct moral thinking'), which is a frustratingly thin concept. |
| 9260 | Virtues won't generate an obligation, so it isn't a basis for morality [Prichard] |
| Full Idea: It is untrue to urge that, since courage is a virtue, we ought to act courageously. We feel an obligation to act, but not from a certain desire. The action is done from obligation, so isn't an act of courage. ..In fact, virtue is no basis for morality. | |
| From: H.A. Prichard (Does moral phil rest on a mistake? [1912]) | |
| A reaction: One of the few interesting and direct attacks on virtue theory, before its modern revival. Prichard urges a perception of what is valuable (or good) as the basis for obligation and right action. He is right that values come first, in virtue and elsewhere. |
| 9259 | We feel obligations to overcome our own failings, and these are not relations to other people [Prichard] |
| Full Idea: The relation involved in an obligation need not be a relation to another at all. Thus we should admit that there is an obligation to overcome our natural timidity or greediness, and this involves no relations to others. | |
| From: H.A. Prichard (Does moral phil rest on a mistake? [1912]) | |
| A reaction: An interesting un-Aristotelian and individualistic view of virtue. Why would we want to rid ourselves of timidity or greediness? Either it is self-interested, or we wish to be better citizens. See Richard Taylor on duty. |
| 9258 | If pain were instrinsically wrong, it would be immoral to inflict it on ourselves [Prichard] |
| Full Idea: If the badness of pain were the reason why we ought not to inflict pain on another, it would equally be a reason why we ought not to inflict pain on ourselves; yet, though we would call such behaviour foolish, we wouldn't think it wrong. | |
| From: H.A. Prichard (Does moral phil rest on a mistake? [1912], n4) | |
| A reaction: A very nice point. Note that it will equally well apply to 'benefit' or 'preferences', or any other ideal which utilitarians set out to maximise. It may not be bad to hurt yourself, but it might still be bad to harm yourself. |
| 17864 | Defining an essence comes no where near giving a thing's nature [Almog] |
| Full Idea: The natures of things are neither exhausted nor even partially given by 'defining essences'. | |
| From: Joseph Almog (Nature Without Essence [2010], Intro) | |
| A reaction: A better criticism of essentialism. 'Natures' is a much vaguer word than 'essences', however, because the latter refers to what is stable and important, whereas natures could include any aspect. Being ticklish is in my nature, but not in my essence. |
| 17863 | Essences promise to reveal reality, but actually drive us away from it [Almog] |
| Full Idea: The essentialist line (one I trace to Aristotle, Descartes and Kripke) is driving us away from, not closer to, the real nature of things. It promised a sort of Hubble telescope - essences - able to reveal the deep structure of reality. | |
| From: Joseph Almog (Nature Without Essence [2010], Intro) | |
| A reaction: I suspect this is tilting at a straw man. No one thinks we should hunt for essences instead of doing normal science. 'Essence' just labels what you've got when you succeed. |