Combining Philosophers

Ideas for Peter Geach, Gottfried Leibniz and Aristotle

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39 ideas

14. Science / D. Explanation / 1. Explanation / a. Explanation
Aristotelian explanations are facts, while modern explanations depend on human conceptions [Aristotle, by Politis]
     Full Idea: For Aristotle things which explain (the explanantia) are facts, which should not be associated with the modern view that says explanations are dependent on how we conceive and describe the world (where causes are independent of us).
     From: report of Aristotle (works [c.330 BCE]) by Vassilis Politis - Aristotle and the Metaphysics 2.1
     A reaction: There must be some room in modern thought for the Aristotelian view, if some sort of robust scientific realism is being maintained against the highly linguistic view of philosophy found in the twentieth century.
Are particulars explained more by universals, or by other particulars? [Aristotle]
     Full Idea: Which of the middle terms is explanatory for the particulars - the one which is primitive in the direction of the universal, or the one which is primitive in the direction of the particular?
     From: Aristotle (Posterior Analytics [c.327 BCE], 99b09)
     A reaction: I'm not clear about this, but it shows Aristotle wrestling with the issue of whether explanations are of particulars or universals, and whether they employ particulars as well as employing universals. The particular must be defined!
Universal principles are not primary beings, but particular principles are not universally knowable [Aristotle]
     Full Idea: If the principles are universal, they will not be primary beings [ousiai], ...but if the principles are not universal but of the nature of particulars, they will not be scientifically knowable. For scientific knowledge of any thing is universal.
     From: Aristotle (Metaphysics [c.324 BCE], 1003a08)
     A reaction: Part of the fifteenth aporia (puzzle) of this book. Plato goes for the universal (and hence knowable), but Aristotle makes the particular primary, and so is left with an epistemological problem, which the rest of 'Metaphysics' is meant to solve.
Universals are valuable because they make the explanations plain [Aristotle]
     Full Idea: Universals are valuable because they make the explanations plain.
     From: Aristotle (Posterior Analytics [c.327 BCE], 88a06)
     A reaction: Everything in Aristotle comes back to human capacity to understand. There seems to be an ideal explanation consisting entirely of particulars, but humans are not equipped to grasp it. We think in a broad brush way.
What is most universal is furthest away, and the particulars are nearest [Aristotle]
     Full Idea: What is most universal is furthest away, and the particulars are nearest.
     From: Aristotle (Posterior Analytics [c.327 BCE], 72a05)
     A reaction: This is the puzzle that bother Aristotle about explanation, that we can only grasp the universals, when we want to explain the particulars.
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
What we seek and understand are facts, reasons, existence, and identity [Aristotle]
     Full Idea: The things we seek are equal in number to those we understand: the fact, the reason why, if something is, and what something is.
     From: Aristotle (Posterior Analytics [c.327 BCE], 89b24)
We know a thing if we grasp its first causes, principles and basic elements [Aristotle]
     Full Idea: We think we know a thing only when we have grasped its first causes and principles and have traced it back to its elements.
     From: Aristotle (Physics [c.337 BCE], 184a12)
     A reaction: A nice Aristotelian analysis. It is hard to see what else you need to know about a thunderstorm, once you know what causes it, the principles which guide its operation, and the elements of which it is composed. But doesn't Aristotle seek its purpose…?
Explanation is of the status of a thing, inferences to it, initiation of change, and purpose [Aristotle]
     Full Idea: There are four sorts of explanation: what it is to be something, that if certain items hold it is necessary for this to hold, what initiated the change, and the purpose.
     From: Aristotle (Posterior Analytics [c.327 BCE], 94a21)
     A reaction: This might be summed up as: 'we want to know the essence, the necessary conditions, the cause, and the purpose'. Can anyone improve on that as the aims of explanation? The second explanation (necessary preconditions) isn't in 'Physics' - Idea 8332.
Understanding moves from the less to the more intelligible [Aristotle]
     Full Idea: Understanding moves from things less intelligible by nature to things more so.
     From: Aristotle (Metaphysics [c.324 BCE], 1029b02)
     A reaction: The interesting phrase is 'by nature'. Whether things are intelligible or not is a feature of the natural world, and not just a feature of the mind's capacities.
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Four Explanations: the essence and form; the matter; the source; and the end [Aristotle, by Politis]
     Full Idea: Aristotle gives us four explanations (or causes) of things: the essence (to ti estin, to ti en einai) and the form (he morphe, to eidos); the matter (hule); the source of change and generation (to kinoun); and the end (telos) at which change is directed.
     From: report of Aristotle (Physics [c.337 BCE]) by Vassilis Politis - Aristotle and the Metaphysics 2.4
     A reaction: Politis presents these as primarily the Four Explanations, rather than under the better-known label of the 'Four Causes'. It is interesting that essence and form are lumped in together, under what is normally labelled the 'formal cause'.
Aristotle's four 'causes' are four items which figure in basic explanations of nature [Aristotle, by Annas]
     Full Idea: The four so-called 'causes' are the different types of item which figure in what Aristotle thinks are the four fundamental types of explanation of nature.
     From: report of Aristotle (Physics [c.337 BCE]) by Julia Annas - Ancient Philosophy: very short introduction Ch.5
     A reaction: This interpretation now seems to be standard among modern scholars. The word 'aitia' translates as 'explanation', but it is important to remember that it also translates as 'cause'. Aristotelian explanations are essentially causal.
Science refers the question Why? to four causes/explanations: matter, form, source, purpose [Aristotle]
     Full Idea: If the natural scientist refers the question 'Why?' to this set of four causes [aition] - matter, form, source of change, purpose - he will be explaining things in the way a natural scientist should.
     From: Aristotle (Physics [c.337 BCE], 198a23)
     A reaction: This is even more conclusive than Idea 16968 in showing that we have the Four Modes of Explanation, not the so-called Four Causes.
There are as many causes/explanations as there are different types of why-question [Aristotle]
     Full Idea: There are causes [aition] and there are as many of them as we have been saying, since there are just as many different kinds of question covered by the question 'Why?'.
     From: Aristotle (Physics [c.337 BCE], 198a16)
     A reaction: He goes on to split the questions into 'what is it?' and 'what initiated the change?'. This, along with Idea 16969, is Exhibit A for saying Aristotle has the Four Explanations, not the Four Causes (which are so famous).
Aristotelian explanations mainly divide things into natural kinds [Aristotle, by Politis]
     Full Idea: The search for explanation as Aristotle conceives it is the search for the correct way to distinguish things into natural kinds, which may involve revising our initial conceptions.
     From: report of Aristotle (Metaphysics [c.324 BCE], kind) by Vassilis Politis - Aristotle and the Metaphysics 2.2
     A reaction: Nowadays we would make the huge addition of objects and processes which are invisible to the naked eye, which Aristotle probably never envisaged. He is interested in categories, but we are also interested in mechanisms.
Nature is explained by mathematics and mechanism, but the laws rest on metaphysics [Leibniz]
     Full Idea: One must always explain nature along mathematical and mechanical lines, provided one knows that the very principles or laws of mechanics or of force do not depend upon mathematical extension alone but upon certain metaphysical reasons.
     From: Gottfried Leibniz (Letters to Antoine Arnauld [1686], 1686.07.4/14 X)
     A reaction: I like this, and may even use it as the epigraph of my masterwork. Recently Stephen Hawking (physicist) has been denigrating philosophy, but I am with Leibniz on this one.
Aristotle's standard analysis of species and genus involves specifying things in terms of something more general [Aristotle, by Benardete,JA]
     Full Idea: The standard Aristotelian doctrine of species and genus in the theory of anything whatever involves specifying what the thing is in terms of something more general.
     From: report of Aristotle (works [c.330 BCE]) by José A. Benardete - Metaphysics: the logical approach Ch.10
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Chance is inexplicable, because we can only explain what happens always or usually [Aristotle]
     Full Idea: Chance is inexplicable, because explanations can only be given for things that happen either always or usually, but the province of chance is things which do not happen always or usually.
     From: Aristotle (Physics [c.337 BCE], 197a19)
     A reaction: This seems wrong. We can explain perfectly well a chance meeting in the market place - it is just that the explanation is not of much use in making future predictions. But we may avoid the market place because of the danger of chance meetings.
Explanation and generality are inseparable [Aristotle, by Wedin]
     Full Idea: For Aristotle, explanation and generality are fellow-travellers.
     From: report of Aristotle (Posterior Analytics [c.327 BCE]) by Michael V. Wedin - Aristotle's Theory of Substance X.11
     A reaction: This isn't 'lawlike' explanation, but it is interestingly close to it. It seems to be based on the fact that predicates are universals, so we can only state truths in general terms.
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
The foundation or source is stronger than the thing it causes [Aristotle]
     Full Idea: Something always holds better because of that because of which it holds - e.g. that because of which we love something is better loved.
     From: Aristotle (Posterior Analytics [c.327 BCE], 72a30)
Minds are best explained by their ends, and bodies by efficient causes [Leibniz]
     Full Idea: Whatever concerns reasonable substances (the minds of men) is more naturally explained by the consideration of ends, whereas other substances (bodies) are better explained by efficient causes.
     From: Gottfried Leibniz (Geometrical Method and Metaphysics [1712], p.89)
     A reaction: That is, I take it, that the type of causal explanation considered most appropriate is the one that leads to the greatest understanding. So there is no absolute or correct answer as to which type of causation is the more important.
To grasp something, trace it back to its natural origins [Aristotle]
     Full Idea: If we see how things grow naturally from the start, we would in this way, as in other cases, get the best theoretical grasp of them.
     From: Aristotle (Politics [c.332 BCE], 1252a24)
     A reaction: Observing the natural origins of a tulip doesn't help much (without microbiology), but he is discussing the nature of cities, and his suggestion seems good.
14. Science / D. Explanation / 2. Types of Explanation / h. Explanations by function
Final causes can help with explanations in physics [Leibniz]
     Full Idea: Final causes not only advance virtue and piety in ethics and natural theology, but also help us to find and lay bare hidden truths in physics itself.
     From: Gottfried Leibniz (On Nature Itself (De Ipsa Natura) [1698], §04)
     A reaction: This rearguard action against the attack on teleology is certainly aimed at Spinoza. The notion of purpose still seems to have a role to play in evolutionary biology, but probably not in physics.
To explain a house we must describe its use, as well as its parts [Leibniz]
     Full Idea: A house would be badly explained if we were to describe only the arrangement of its parts, but not its use.
     From: Gottfried Leibniz (On Body and Force, Against the Cartesians [1702], p.255)
     A reaction: This must partly fall under pragmatics (i.e. what the enquirer is interested in). But function plays a genuine role in artefacts, and also in evolved biological organs.
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
The cause of a change is not the real influence, but whatever gives a reason for the change [Leibniz]
     Full Idea: That thing from whose state a reason for the changes is most readily provided is adjudged to be the cause. ...Causes are not derived from a real influence, but from the providing of a reason.
     From: Gottfried Leibniz (Specimen inventorum [1689], A6.4.1620), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 5
     A reaction: Leibniz is not denying that there are real influences. He seems to be offering the thesis which I am pursuing, that the need for explanation is the crucial factor in shaping the structure of our metaphysics.
The essence of substance is the law of its changes, as in the series of numbers [Leibniz]
     Full Idea: The essence of substance consists in ...the law of the sequence of changes, as in the nature of the series in numbers.
     From: Gottfried Leibniz (works [1690], A 6.3.326), quoted by Cover,J/O'Leary-Hawthorne,J - Substance and Individuation in Leibniz 6.1.2
     A reaction: Thus we might say, in this spirit, that the essence of number is the successor operation, as defined by Dedekind and Peano (and perhaps their amenability to inductive proof). I like this. Metaphysicians rule - they penetrate the heart of nature.
We will only connect our various definitions of gold when we understand it more deeply [Leibniz]
     Full Idea: We can define gold as the heaviest metal, or by assaying procedures, but only when men have penetrated more deeply into the nature of things will they be able to see why one belongs with the other.
     From: Gottfried Leibniz (New Essays on Human Understanding [1704], 2.31)
     A reaction: He mentions that geometry is different, because we do have perfect ideas of things. This is part of Leibniz's optimism about the future of science, in comparison with the surprising pessimism of the empiricists. See Idea 12976 and Idea 12975.
Aristotelian explanation by essence may need to draw on knowledge of other essences [Aristotle, by Koslicki]
     Full Idea: From Aristotle's biology we learn that a successful scientific explanation of the necessary (but non-essential) features of one type of phenomenon (e.g. camels) my require appeal to facts about the essences of other types of phenomena (stomachs).
     From: report of Aristotle (The History of Animals [c.344 BCE]) by Kathrin Koslicki - Essence, Necessity and Explanation 13.4
The nature of each thing is its mature state [Aristotle]
     Full Idea: What each thing is when its coming to be has been complete, this we say is the nature of each - for example, of a human, or of a horse, or of a household.
     From: Aristotle (Politics [c.332 BCE], 1252b32)
     A reaction: This works better for animate than for inanimate things. Aristotle is much clearer when we talk of the 'nature' of each thing, rather than its 'essence', because the latter has been blurred. I like 'essential nature'.
Aristotle regularly says that essential properties explain other significant properties [Aristotle, by Kung]
     Full Idea: The view that essential properties are those in virtue of which other significant properties of the subjects under investigation can be explained is encountered repeatedly in Aristotle's work.
     From: report of Aristotle (works [c.330 BCE]) by Joan Kung - Aristotle on Essence and Explanation IV
     A reaction: What does 'significant' mean here? I take it that the significant properties are the ones which explain the role, function and powers of the object.
To understand a triangle summing to two right angles, we need to know the essence of a line [Aristotle]
     Full Idea: In mathematics it is useful for the understanding of the property of the equality of the interior angles of a triangle to two right angles to know the essential nature of the straight and the curved or of the line and the plane.
     From: Aristotle (De Anima [c.329 BCE], 402b18)
     A reaction: Although Aristotle was cautious about this, he clearly endorses here the idea that essences play an explanatory role in geometry. The caution is in the word 'useful', rather than 'vital'. How else can we arrive at this result, though?
We know something when we fully know what it is, not just its quality, quantity or location [Aristotle]
     Full Idea: It is when we know what a man is or what fire is that we reckon that we know a particular item in the fullest sense, rather than when we merely know its quality, quantity or location.
     From: Aristotle (Metaphysics [c.324 BCE], 1028a36)
     A reaction: The word 'what' should usually be taken to indicate that Aristotle is talking about essence (as V. Politis confirms of this passage). This idea is a key one for the claim that Aristotelian essences are essentially (sic) explanatory.
Real enquiries seek causes, and causes are essences [Aristotle]
     Full Idea: Real enquiries stand revealed as causal enquiries (and the cause is the what-it-was-to-be-that-thing [to ti en einai]).
     From: Aristotle (Metaphysics [c.324 BCE], 1041a28)
     A reaction: As good a quotation as any for showing that Aristotelian essences exist entirely by their role in explanation.
We know a thing when we grasp its essence [Aristotle]
     Full Idea: We have knowledge of each thing when we grasp the what-it-was-to-be [to ti en einai] that thing.
     From: Aristotle (Metaphysics [c.324 BCE], 1031b08)
     A reaction: This is a key remark in my understanding of the whole business of essentialism. It really concerns the way in which we are able to grasp reality, rather than how it is in itself. It is not mere convention, because the grasping responds to the reality.
The explanation is what gives matter its state, which is the form, which is the substance [Aristotle]
     Full Idea: The explanation [aition - cause] that is the object of enquiry is that by virtue of which the matter is in the state that it is in. And this cause [explanation] is the form, and the form the substance [ousia].
     From: Aristotle (Metaphysics [c.324 BCE], 1041b08)
     A reaction: A key sentence, I think, for understanding Aristotle's whole enterprise. The explanation is the essence; the essence is what explains.
Essential properties explain in conjunction with properties shared by the same kind [Aristotle, by Kung]
     Full Idea: Aristotle makes it clear that properties which belong essentially to anything have explanatory power vis-à-vis the other properties of things of that kind.
     From: report of Aristotle (Metaphysics [c.324 BCE], props) by Joan Kung - Aristotle on Essence and Explanation IV
     A reaction: This means that explanation will always occur at the level of generalisation, leading to what we call 'laws', but some events are only explicable at the level of the individual.
To fully conceive the subject is to explain the resulting predicates and events [Leibniz]
     Full Idea: Even in the most contingent truths, there is always something to be conceived in the subject which serves to explain why this predicate or event pertains to it, or why this has happened rather than not.
     From: Gottfried Leibniz (Letters to Antoine Arnauld [1686], 1686.06)
     A reaction: The last bit, about containing what has happened, seems absurd, but the rest of it makes sense. It is just the Aristotelian essentialist view, that a full understanding of the inner subject will both explain and predict the surface properties.
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
Universals give better explanations, because they are self-explanatory and primitive [Aristotle]
     Full Idea: Universals are more explanatory (for something which holds in itself is itself explanatory of itself; and universals are primitive; hence universals are explanatory) - so universal demonstrations are better.
     From: Aristotle (Posterior Analytics [c.327 BCE], 85b25)
The Copernican theory is right because it is the only one offering a good explanation [Leibniz]
     Full Idea: The Copernican account is the truest theory, that is, the most intelligible theory and the only one capable of an explanation sufficient for a person of sound reason.
     From: Gottfried Leibniz (On Copernicanism and Relativity of Motion [1689], p.92)
     A reaction: The word 'intelligible' here seems to be linked to the notion of a best explanation.
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
Nature can be fully explained by final causes alone, or by efficient causes alone [Leibniz]
     Full Idea: All the phenomena of nature can be explained solely by final causes, exactly as if there were no efficient causes; and all the phenomena of nature can be explained solely by efficient causes, as if there were no final causes.
     From: Gottfried Leibniz (Definitiones cogitationesque metaphysicae [1678], A6.4.1403), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 6
     A reaction: Somewhat speculative (a virtue!), but it is interesting to see him suggesting that there might be two complete and satisfactory explanations, which never touched one another. I can't see Aristotle agreeing with that.