61 ideas
| 15924 | Predicative definitions are acceptable in mathematics if they distinguish objects, rather than creating them? [Zermelo, by Lavine] |
| Full Idea: On Zermelo's view, predicative definitions are not only indispensable to mathematics, but they are unobjectionable since they do not create the objects they define, but merely distinguish them from other objects. | |
| From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Shaughan Lavine - Understanding the Infinite V.1 | |
| A reaction: This seems to have an underlying platonism, that there are hitherto undefined 'objects' lying around awaiting the honour of being defined. Hm. |
| 23000 | Vicious regresses force you to another level; non-vicious imply another level [Baron/Miller] |
| Full Idea: A regress is vicious if the problem at level n can only be solved at level n+1; it is non-vicious if it can be solved at n, but the solution forces another level n+1, where the problem can be reformulated. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 2.3.2) | |
| A reaction: So in a vicious regress you chase the apparent solution, but never attain it. In the non-vicious you solve it, but then find you have a new problem. I think. |
| 17608 | We take set theory as given, and retain everything valuable, while avoiding contradictions [Zermelo] |
| Full Idea: Starting from set theory as it is historically given ...we must, on the one hand, restrict these principles sufficiently to exclude as contradiction and, on the other, take them sufficiently wide to retain all that is valuable in this theory. | |
| From: Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908], Intro) | |
| A reaction: Maddy calls this the one-step-back-from-disaster rule of thumb. Zermelo explicitly mentions the 'Russell antinomy' that blocked Frege's approach to sets. |
| 17607 | Set theory investigates number, order and function, showing logical foundations for mathematics [Zermelo] |
| Full Idea: Set theory is that branch whose task is to investigate mathematically the fundamental notions 'number', 'order', and 'function', taking them in their pristine, simple form, and to develop thereby the logical foundations of all of arithmetic and analysis. | |
| From: Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908], Intro) | |
| A reaction: At this point Zermelo seems to be a logicist. Right from the start set theory was meant to be foundational to mathematics, and not just a study of the logic of collections. |
| 10870 | ZFC: Existence, Extension, Specification, Pairing, Unions, Powers, Infinity, Choice [Zermelo, by Clegg] |
| Full Idea: Zermelo-Fraenkel axioms: Existence (at least one set); Extension (same elements, same set); Specification (a condition creates a new set); Pairing (two sets make a set); Unions; Powers (all subsets make a set); Infinity (set of successors); Choice | |
| From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.15 |
| 13012 | Zermelo published his axioms in 1908, to secure a controversial proof [Zermelo, by Maddy] |
| Full Idea: Zermelo proposed his listed of assumptions (including the controversial Axiom of Choice) in 1908, in order to secure his controversial proof of Cantor's claim that ' we can always bring any well-defined set into the form of a well-ordered set'. | |
| From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Penelope Maddy - Believing the Axioms I §1 | |
| A reaction: This is interesting because it sometimes looks as if axiom systems are just a way of tidying things up. Presumably it is essential to get people to accept the axioms in their own right, the 'old-fashioned' approach that they be self-evident. |
| 17609 | Set theory can be reduced to a few definitions and seven independent axioms [Zermelo] |
| Full Idea: I intend to show how the entire theory created by Cantor and Dedekind can be reduced to a few definitions and seven principles, or axioms, which appear to be mutually independent. | |
| From: Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908], Intro) | |
| A reaction: The number of axioms crept up to nine or ten in subsequent years. The point of axioms is maximum reduction and independence from one another. He says nothing about self-evidence (though Boolos claimed a degree of that). |
| 9565 | Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara] |
| Full Idea: The terms 'set' and 'is a member of' are primitives of Zermelo's 1908 axiomatization of set theory. They are not given model-theoretic analyses or definitions. | |
| From: report of Ernst Zermelo (works [1920]) by Charles Chihara - A Structural Account of Mathematics 7.5 | |
| A reaction: This looks like good practice if you want to work with sets, but not so hot if you are interested in metaphysics. |
| 3339 | For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn] |
| Full Idea: For Zermelo's set theory the empty set is zero and the successor of each number is its unit set. | |
| From: report of Ernst Zermelo (works [1920]) by Simon Blackburn - Oxford Dictionary of Philosophy p.280 |
| 17832 | Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M] |
| Full Idea: Zermelo's paper sets out to show that the standard set-theoretic axioms (what he calls the 'constitutive axioms', thus the ZF axioms minus the axiom of infinity) have an unending sequence of different models, thus that they are non-categorical. | |
| From: report of Ernst Zermelo (On boundary numbers and domains of sets [1930]) by Michael Hallett - Introduction to Zermelo's 1930 paper p.1209 | |
| A reaction: Hallett says later that Zermelo is working with second-order set theory. The addition of an Axiom of Infinity seems to have aimed at addressing the problem, and the complexities of that were pursued by Gödel. |
| 13017 | Zermelo introduced Pairing in 1930, and it seems fairly obvious [Zermelo, by Maddy] |
| Full Idea: Zermelo's Pairing Axiom superseded (in 1930) his original 1908 Axiom of Elementary Sets. Like Union, its only justification seems to rest on 'limitations of size' and on the 'iterative conception'. | |
| From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Penelope Maddy - Believing the Axioms I §1.3 | |
| A reaction: Maddy says of this and Union, that they seem fairly obvious, but that their justification is of prime importance, if we are to understand what the axioms should be. |
| 13028 | Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy] |
| Full Idea: Zermelo included Replacement in 1930, after it was noticed that the sequence of power sets was needed, and Replacement gave the ordinal form of the well-ordering theorem, and justification for transfinite recursion. | |
| From: report of Ernst Zermelo (On boundary numbers and domains of sets [1930]) by Penelope Maddy - Believing the Axioms I §1.8 | |
| A reaction: Maddy says that this axiom suits the 'limitation of size' theorists very well, but is not so good for the 'iterative conception'. |
| 13015 | Zermelo used Foundation to block paradox, but then decided that only Separation was needed [Zermelo, by Maddy] |
| Full Idea: Zermelo used a weak form of the Axiom of Foundation to block Russell's paradox in 1906, but in 1908 felt that the form of his Separation Axiom was enough by itself, and left the earlier axiom off his published list. | |
| From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Penelope Maddy - Believing the Axioms I §1.2 | |
| A reaction: Foundation turns out to be fairly controversial. Barwise actually proposes Anti-Foundation as an axiom. Foundation seems to be the rock upon which the iterative view of sets is built. Foundation blocks infinite descending chains of sets, and circularity. |
| 13020 | The Axiom of Separation requires set generation up to one step back from contradiction [Zermelo, by Maddy] |
| Full Idea: The most characteristic Zermelo axiom is Separation, guided by a new rule of thumb: 'one step back from disaster' - principles of set generation should be as strong as possible short of contradiction. | |
| From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Penelope Maddy - Believing the Axioms I §1.4 | |
| A reaction: Why is there an underlying assumption that we must have as many sets as possible? We are then tempted to abolish axioms like Foundation, so that we can have even more sets! |
| 13486 | Not every predicate has an extension, but Separation picks the members that satisfy a predicate [Zermelo, by Hart,WD] |
| Full Idea: Zermelo assumes that not every predicate has an extension but rather that given a set we may separate out from it those of its members satisfying the predicate. This is called 'separation' (Aussonderung). | |
| From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by William D. Hart - The Evolution of Logic 3 |
| 17626 | The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo] |
| Full Idea: Two opposite tendencies of thought, the idea of creative advance and of collection and completion (underlying the Kantian 'antinomies') find their symbolic representation and their symbolic reconciliation in the transfinite numbers based on well-ordering. | |
| From: Ernst Zermelo (On boundary numbers and domains of sets [1930], §5) | |
| A reaction: [a bit compressed] It is this sort of idea, from one of the greatest set-theorists, that leads philosophers to think that the philosophy of mathematics may offer solutions to metaphysical problems. As an outsider, I am sceptical. |
| 23024 | A traveller takes a copy of a picture into the past, gives it the artist, who then creates the original! [Baron/Miller] |
| Full Idea: Suppose an art critic travels back in time with a copy of an artist's masterpiece, gives the artist the copy, and the artist copies it. The copy of the copy turns out to be the original mastepiece. The artwork seems to come from nowhere. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 8.6) | |
| A reaction: Lovely thought. Is the example possible (even with time travel)? How would the critic possess the copy before making the time journey? What if the critic decided not to travel back in time? Can a picture exist if no one has imagined it first? |
| 13487 | In ZF, the Burali-Forti Paradox proves that there is no set of all ordinals [Zermelo, by Hart,WD] |
| Full Idea: In Zermelo's set theory, the Burali-Forti Paradox becomes a proof that there is no set of all ordinals (so 'is an ordinal' has no extension). | |
| From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by William D. Hart - The Evolution of Logic 3 |
| 15897 | Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine] |
| Full Idea: Zermelo realised that the Axiom of Choice (based on arbitrary functions) could be used to 'count', in the Cantorian sense, those collections that had given Cantor so much trouble, which restored a certain unity to set theory. | |
| From: report of Ernst Zermelo (Proof that every set can be well-ordered [1904]) by Shaughan Lavine - Understanding the Infinite I |
| 18178 | For Zermelo the successor of n is {n} (rather than n U {n}) [Zermelo, by Maddy] |
| Full Idea: For Zermelo the successor of n is {n} (rather than Von Neumann's successor, which is n U {n}). | |
| From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Penelope Maddy - Naturalism in Mathematics I.2 n8 | |
| A reaction: I could ask some naive questions about the comparison of these two, but I am too shy about revealing my ignorance. |
| 13027 | Zermelo believed, and Von Neumann seemed to confirm, that numbers are sets [Zermelo, by Maddy] |
| Full Idea: Zermelo was a reductionist, and believed that theorems purportedly about numbers (cardinal or ordinal) are really about sets, and since Von Neumann's definitions of ordinals and cardinals as sets, this has become common doctrine. | |
| From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Penelope Maddy - Believing the Axioms I §1.8 | |
| A reaction: Frege has a more sophisticated take on this approach. It may just be an updating of the Greek idea that arithmetic is about treating many things as a unit. A set bestows an identity on a group, and that is all that is needed. |
| 9627 | Different versions of set theory result in different underlying structures for numbers [Zermelo, by Brown,JR] |
| Full Idea: In Zermelo's set-theoretic definition of number, 2 is a member of 3, but not a member of 4; in Von Neumann's definition every number is a member of every larger number. This means they have two different structures. | |
| From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by James Robert Brown - Philosophy of Mathematics Ch. 4 | |
| A reaction: This refers back to the dilemma highlighted by Benacerraf, which was supposed to be the motivation for structuralism. My intuition says that the best answer is that they are both wrong. In a pattern, the nodes aren't 'members' of one another. |
| 23008 | Grounding is intended as a relation that fits dependences between things [Baron/Miller] |
| Full Idea: Grounding is a posit introduced by metaphysicians in an attempt to devise a relation that can accommodate dependence between things in the world. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 5.6) | |
| A reaction: Grounding is a recent concept which seems to have lots of enemies, but I assume you can only reject it if you reject the concept of dependence - yet that seems a fairly obvious fact to me. My favoured metaphysical relation is 'determination'. |
| 16062 | A necessary relation between fact-levels seems to be a further irreducible fact [Lynch/Glasgow] |
| Full Idea: It seems unavoidable that the facts about logically necessary relations between levels of facts are themselves logically distinct further facts, irreducible to the microphysical facts. | |
| From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], C) | |
| A reaction: I'm beginning to think that rejecting every theory of reality that is proposed by carefully exposing some infinite regress hidden in it is a rather lazy way to do philosophy. Almost as bad as rejecting anything if it can't be defined. |
| 16061 | If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow] |
| Full Idea: Logical supervenience, restricted to individuals, seems to imply strong reduction. It is said that where the B-facts logically supervene on the A-facts, the B-facts simply re-describe what the A-facts describe, and the B-facts come along 'for free'. | |
| From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], C) | |
| A reaction: This seems to be taking 'logically' to mean 'analytically'. Presumably an entailment is logically supervenient on its premisses, and may therefore be very revealing, even if some people think such things are analytic. |
| 16060 | Nonreductive materialism says upper 'levels' depend on lower, but don't 'reduce' [Lynch/Glasgow] |
| Full Idea: The root intuition behind nonreductive materialism is that reality is composed of ontologically distinct layers or levels. …The upper levels depend on the physical without reducing to it. | |
| From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], B) | |
| A reaction: A nice clear statement of a view which I take to be false. This relationship is the sort of thing that drives people fishing for an account of it to use the word 'supervenience', which just says two things seem to hang out together. Fluffy materialism. |
| 16064 | The hallmark of physicalism is that each causal power has a base causal power under it [Lynch/Glasgow] |
| Full Idea: Jessica Wilson (1999) says what makes physicalist accounts different from emergentism etc. is that each individual causal power associated with a supervenient property is numerically identical with a causal power associated with its base property. | |
| From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], n 11) | |
| A reaction: Hence the key thought in so-called (serious, rather than self-evident) 'emergentism' is so-called 'downward causation', which I take to be an idle daydream. |
| 23018 | How does a changing object retain identity or have incompatible properties over time? [Baron/Miller] |
| Full Idea: The problems of temporary intrinsics are reconciling the indiscernibility of identicals with change in an object over time, and the problem of something have incompatible properties over time (such as tired and not-tired). | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 7.3.1) | |
| A reaction: Loosely speaking, I would offer some sort of essentialism as the answer to these problems. People are not essentially sitting down, or tired. Or we can relativise properties to times t1 and t2. |
| 17613 | We should judge principles by the science, not science by some fixed principles [Zermelo] |
| Full Idea: Principles must be judged from the point of view of science, and not science from the point of view of principles fixed once and for all. Geometry existed before Euclid's 'Elements', just as arithmetic and set theory did before Peano's 'Formulaire'. | |
| From: Ernst Zermelo (New Proof of Possibility of Well-Ordering [1908], §2a) | |
| A reaction: This shows why the axiomatisation of set theory is an ongoing and much-debated activity. |
| 23011 | Modern accounts of causation involve either processes or counterfactuals [Baron/Miller] |
| Full Idea: The two major contemporary theories of causation are process theories and counterfactual theories. …Process theories treat it as something to be discovered. …Counterfactual theories ignore processes, and treat it in terms of truth and falsity. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 6.1) | |
| A reaction: I take the counterfactual theory to be a specialised branch of the project of analytic metaphysics, which seeks the logical form of causation sentences, using possible worlds semantics. In the real word its processes or nothing. |
| 23013 | The main process theory of causation says it is transference of mass, energy, momentum or charge [Baron/Miller] |
| Full Idea: According to contemporary process theories of causation it consists of the transference of a 'mark', which is always some conserved quantity. Candidates (from science) are mass, energy, momentum and electric charge. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 6.2.2) | |
| A reaction: Given my commitment to physicalism, this is my preferred theory of causation. It began with the suggestion of energy-transfer, but has broadened into the present idea. It is an updated version of the Newton view, as the meeting of objects. |
| 23014 | If causes are processes, what is causation by omission? (Distinguish legal from scientific causes?) [Baron/Miller] |
| Full Idea: Process theories of causation face a serious problem, such as killing a plant by failing to water it - a cause by omission. …Defenders of the theory propose two concepts of causation: one for legal and one for scientific contexts. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 6.2.3) | |
| A reaction: Not much of a problem, I think. Clearly the scientific concept has priority. The plant died of dehydration, resulting from the consumption and evaporation of the available water. The human causes of that situation are legion. |
| 23015 | The counterfactual theory of causation handles the problem no matter what causes actually are [Baron/Miller] |
| Full Idea: The chief advantage of the counterfactual theory of causation is that it is flexible enough to handle causation no matter what in the world underlies the causal facts in question. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 6.3) | |
| A reaction: It has this advantage because it makes no attempt to explain causation, but merely gives an accurate map of the truth and falsity of causal statements. It describes how we think about causation. |
| 23016 | Counterfactual theories struggle with pre-emption by a causal back-up system [Baron/Miller] |
| Full Idea: Counterfactual theories of causation have difficulty accommodating pre-emption, which involves the existence of causal back-up systems that undermine counterfactual dependence. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 6.5) | |
| A reaction: E.g. If your stone hadn't broken the window first, my stone would have broken it instead. So in the nearest world the withholding of your stone doesn't save the window. |
| 23009 | There is no second 'law' of thermodynamics; it just reflects probabilities of certain microstates [Baron/Miller] |
| Full Idea: According to contemporary statistical mechanics the second law of thermodynamics is not really a law at all, but merely reflects to probabilities of certain microstates, conditional on local boundary conditions having certain properties. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 5.6.1) | |
| A reaction: A nice illustration of how metaphysicians have been seduced by the 'laws' of nature into falsely inferring all sorts of natural necessities. Entropy is normally assumed to be totally inevitable, because of some natural force. It's just a pattern. |
| 23002 | In relativity space and time depend on one's motion, but spacetime gives an invariant metric [Baron/Miller] |
| Full Idea: While spatial and temporal distances in relativity depend on one's relative state of motion, spatiotemporal distances within Minkowski spacetime do not. It therefore provides an invariant metric for describing the distances between things. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 4.2) | |
| A reaction: I doubt whether this solves all the worries which philosophers have, about relativity giving an account of time which contradicts our concept of time in every other area of our understanding. |
| 22988 | The block universe theory says entities of all times exist, and time is the B-series [Baron/Miller] |
| Full Idea: The standard block universe theory combines EntityEverywhenism with the B-theory of time. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 1.4) | |
| A reaction: This is also known as 'eternalism'. These authors emphasise that there is an ontological commitment to the objects of past and future in eternalism, as well as the B-series view of the moments of time. |
| 22991 | How can we know this is the present moment, if other times are real? [Baron/Miller] |
| Full Idea: According to the spotlight and growing block views, there is a single objectively present moment, and also other objectively existing moments. But then how do persons in those different moments know which one is present? | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 1.6) | |
| A reaction: [compressed example] This sceptical thought leads either towards Presentism (we know we are present because that's all there is), or Eternalism (there is no present moment, so no problem). A good objection to spotlight and growing block. |
| 22992 | If we are actually in the past then we shouldn't experience time passing [Baron/Miller] |
| Full Idea: If the past really exists, and we are in it, rather than in the present, then we should rationally conclude that we are not experiencing the passage of time. …But then we have no basis for arguing that time is dynamic. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 1.6) | |
| A reaction: [compressed] It is certainly difficult to conceive how past times and entities could be real in every way, except that the experience of time passing has been removed. But if past people experience passing, they must believe they are present… |
| 22994 | Erzatz Presentism allows the existence of other times, with only the present 'actualised' [Baron/Miller] |
| Full Idea: The 'erzatz presentism' view is that either the past and present exist, or all times exist, but only the present is 'actualised'. Standard Presentism says no times exist other than the present. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 1.7.2) | |
| A reaction: Ersatz presentism is obviously a close relative of the moving spotlight and growing block views. No account seems possible of the distinction between 'exists' and 'actualised' (other than the former being a mere abstract concept). |
| 22998 | How do presentists explain relations between things existing at different times? [Baron/Miller] |
| Full Idea: A chief challenge facing presentism is how to give an account of cross-temporal relations, which link things that exist with things that do not. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 2.2) | |
| A reaction: The problem of whether to keep a dubious death-bed promise is a bit of a puzzle for all of us, whatever our metaphysical view of time. None of us deny the reality of our great-great-grandparents. |
| 23017 | Presentism needs endurantism, because other theories imply most of the object doesn't exist [Baron/Miller] |
| Full Idea: Presentism is more naturally paired with endurantism, since if we pair it with perdurantism or transdurantism we have to say that most of any persisting object does not exist, and while that is not incoherent it is not very attractive. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 7.2.2) | |
| A reaction: (I think perdurance is time slices, and transdurance is the complete time worm). My preferred combination is this one: all that exists is the complete objects at the present moment. It also needs strong commitment to the truth of tensed verbs. |
| 23023 | How can presentists move to the next future moment, if that doesn't exist? [Baron/Miller] |
| Full Idea: If Presentism is true, how do we manage to travel from this moment to the next moment, a moment that is, at present, a future and hence non-existent moment? | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 8.3.1) | |
| A reaction: The reply would have to be that the metaphor of 'travel' is inappropriate for the movement through time. Travel needs a succession of existing places. The advancement of time is nothing like that. Nice question, though. |
| 22995 | Most of the sciences depend on the concept of time [Baron/Miller] |
| Full Idea: Without time it is hard to make sense of historical research, evolutionary biology, psychology, chemistry, biology, cosmology, social science, archaeology, practical reason, evidence, human agency and causation. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 1.8) | |
| A reaction: [compressed] I do find it extraordinary that relativistic physicists cheerfully embrace an eternalist theory of time which seems to render nearly all of the other sciences meaningless. |
| 22993 | For abstractionists past times might still exist, althought their objects don't [Baron/Miller] |
| Full Idea: If past moments are seen as abstract (rather than concrete) it doesn't follow that because past objects no longer exist that therefore past times do not exist. The abstractionist needs to say which times are concretely realised. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 1.7.2) | |
| A reaction: Abstractionists see times as representations of change, rather than as substances. |
| 23001 | The error theory of time's passage says it is either a misdescription or a false inference [Baron/Miller] |
| Full Idea: According to the cognitive error theory of the passage of time, …it is either our misdescription of our temporal phenomenology, or some mechanism of our brain infers that the phenomenology is caused by time actually passing. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 3.3.1) | |
| A reaction: [compressed] I think I have some sympathy with the misdescription view. If you imaginatively gradually remove all the changing events in your experience, that doesn't end with a raw experience of pure time, because there is no such thing. |
| 22999 | It is meaningless to measure the rate of time using time itself, and without a rate there is no flow [Baron/Miller] |
| Full Idea: It seems we are forced to measure the rate of time's passing against itself. But that's just not a meaningful rate. So time has no rate. So it doesn't flow. So there is no such thing as temporal passage. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 2.3.1) | |
| A reaction: It is suggested that you can exchange dollars one for one, so time might move at one second per second. But you can't exchange your own dollars with yourself at one-for-one. That is meaningless. Time is NOT a substance which flows. |
| 22986 | The C-series rejects A and B, and just sees times as order by betweenness, without direction [Baron/Miller] |
| Full Idea: The C-series sees times not as directed, but as unchanging, and ordered in terms of the betweenness relation. The C-theory also asserts that the A-series and B-series do not exist. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 1.2) | |
| A reaction: This is McTaggart's idea. Compare this with A-series ordering by past, present and future, and B-series ordering by earlier-than, later-than and simultaneous. The main point is that A and B have a direction, but C does not. |
| 22996 | The A-series has to treat being past, present or future as properties [Baron/Miller] |
| Full Idea: One of the limitations of the A-series is that temporal passage then presupposes the existence of properties of being present, being past and being future. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 2.1) | |
| A reaction: Metaphysicians happily talk about 'properties' all the time, and most of them never grasp how ambiguous and obscure that concept is. The idea that my recent scratching of my chin first acquired the 'present' property and then lost it is incoherent. |
| 23007 | The B-series can have a direction, as long as it does not arise from temporal flow [Baron/Miller] |
| Full Idea: The view that time has a direction is entirely consistent with the B-theory of time, as long as time's having a direction is not a matter of it having temporal flow. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 5.5) | |
| A reaction: I'm not sure how you could account for an intrinsic direction to time if it is not because of the 'flow'. The B-series seems to invite a reductive account of time's direction (e.g. to entropy). |
| 23003 | Static theories cannot account for time's obvious asymmetry, so time must be dynamic [Baron/Miller] |
| Full Idea: One argument for the dynamic theory of time is that time is, obviously, asymmetric, and as static theories can't account for this asymmetry, we ought to posit temporal passage to explain it. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 5) | |
| A reaction: The B-series view (unlike the C-series) asserts that there is an order from past to future, but it offers no explanation of that fact. Physicists love to tell you the order could be in either direction, But why an 'order' at all? |
| 23004 | The direction of time is either primitive, or reducible to something else [Baron/Miller] |
| Full Idea: Primitivism is the view that time has a direction, and that its having that direction is intrinsic to time itself. Reductionism is the view that time has a direction, but its having that direction is reducible to something else. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 5.3.1) | |
| A reaction: The general suggestion for the second theory is that time's direction reduces to some aspect of the laws of nature. I strongly incline to the primitive view. Something's got to be primitive. |
| 23005 | The kaon does not seem to be time-reversal invariant, unlike the rest of nature [Baron/Miller] |
| Full Idea: The laws of nature are time-reversal invariant, with the small exception of the kaon (a type of sub-atomic particle) | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 5.3.2) | |
| A reaction: If that fact about the kaon were very secure indeed, then that would mean the collapse of the claims about the time-invariance of the laws. Since time-invariance is still routinely asserted, I assume it is not secure. |
| 23006 | Maybe the past is just the direction of decreasing entropy [Baron/Miller] |
| Full Idea: We could say that what we call the past is just the direction towards (for instance) decreasing entropy, and the direction we call the future is the direction towards increasing entropy. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 5.3.3) | |
| A reaction: One problem is that locally entropy can sometimes go the other way, which would imply local pockets with a reversed time's arrow,. |
| 23010 | We could explain time's direction by causation: past is the direction of causes, future of effects [Baron/Miller] |
| Full Idea: An option for accounting for the direction of time would be to appeal to the direction of causation …to the future is the direction towards which there are effects, and the past is the direction towards which there are causes. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 5.6.2) | |
| A reaction: The obvious problem is that we can no longer pick out a cause by saying it 'precedes' its effect. It is not obvious what other criterion can be used to distinguish them (esp. given Hume's regularity account). |
| 22989 | Static time theory presents change as one property at t1, and a different property at t2 [Baron/Miller] |
| Full Idea: The static theory of time appeals to an 'at-at' notion of change, which analyses change as objects or events having one property at time t1, and a different property at t2. (The worry about this is that it describes variation, but not real change). | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 1.4) | |
| A reaction: I suppose observing a different property at t2 is observing the result of a change, rather than the process. But then the process might be broken down into micro-gradations of properties. Maybe only results can be observed. |
| 23020 | If a time traveller kills his youthful grandfather, he both exists and fails to exist [Baron/Miller] |
| Full Idea: It is surely true that if a time traveller travels back in time and succeeds in shooting his youthful grandfather then the time traveller both exists and fails to exist. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 8.2) | |
| A reaction: This is the best known paradox of time travel. It is a special dramatic case of making any change to the past. If the traveller kills his neighbour's grandfather, his neighbour should vanish. Moving a speck of dust could have enduring results. |
| 23022 | Presentism means there no existing past for a time traveller to visit [Baron/Miller] |
| Full Idea: A time traveller can only travel to a location if the location exists, But if Presentism is true then past locations do not exist, so time travel to the past is impossible. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 8.3.1) | |
| A reaction: Might a time machine actually restore the past time which had ceased to exist? Then the problem is the information needed to achieve that. |
| 22987 | The past (unlike the future) is fixed, along with truths about it, by the existence of past objects [Baron/Miller] |
| Full Idea: It is the existence of past objects that explains why the past is fixed, and why there are truths about the past, and it is the non-existence of future objects that explains why the future is malleable. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 1.3) | |
| A reaction: The authors label this view 'EntityNowandThenism', and it comes in a section on the 'Temporal Ontology'. |
| 22990 | The moving spotlight says entities can have properties of being present, past or future [Baron/Miller] |
| Full Idea: The moving spotlight theorist maintains that there are special temporal properties that entities possess, namely the properties of being present, being past and being future. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 1.5.3) | |
| A reaction: Are these thought to be intrinsic properties of the objects, or (more plausibly) relational properties, between objects and times? Either view is weird. Does some godlike part of time scurry along, illuminating things, like a mouse under a carpet? |
| 22997 | The present moment is a matter of existence, not of acquiring a property [Baron/Miller] |
| Full Idea: Rather than treating presentness as an acquired property …. presentism equates the metaphysical specialness of the present with existence. | |
| From: Baron,S/Miller,K (Intro to the Philosophy of Time [2019], 2.2) | |
| A reaction: It seems like common sense to say that the recent scratching of my chin came into existence and then went out of existence (rather than that it acquired and then lost a property). |