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All the ideas for 'Mahaprajnaparamitashastra', 'The Mind in Nature' and 'Philosophy of Arithmetic'

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36 ideas

1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Ontology is highly abstract physics, containing placeholders and exclusions [Martin,CB]
     Full Idea: Ontology sets out an even more abstract model of how the world is than theoretical physics, a model that has placeholders for scientific results and excluders for tempting confusions.
     From: C.B. Martin (The Mind in Nature [2008], 04.6)
     A reaction: Most modern metaphysicians accept this account. The interesting (mildly!) question is whether physicists will accept it. If the metaphysics is really rooted in physics, a metaphysical physicist is better placed than a metaphysician knowing some physics.
3. Truth / A. Truth Problems / 1. Truth
Truth is a relation between a representation ('bearer') and part of the world ('truthmaker') [Martin,CB]
     Full Idea: Truth is a relation between two things - a representation (the truth 'bearer') and the world or some part of it (the 'truthmaker').
     From: C.B. Martin (The Mind in Nature [2008], 03.1)
     A reaction: That truth is about representations seems to me to be exactly right. That it is about truthmakers is more controversial. There are well known problems with negative truths, general truths, future truths etc. I'm happy with 'facts'.
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.
8. Modes of Existence / B. Properties / 9. Qualities
A property is a combination of a disposition and a quality [Martin,CB]
     Full Idea: I take properties to have a dual nature; in virtue of possessing a property, an object possesses both a particular dispositionality and a particular qualitative character.
     From: C.B. Martin (The Mind in Nature [2008], 04.6)
     A reaction: That leaves you with the question of the relationship between the disposition and the quality. I say you must choose, and I choose the disposition. Qualities (which are partly subjective, obviously) arise from fundamental dispositions.
8. Modes of Existence / B. Properties / 11. Properties as Sets
Properties are the respects in which objects resemble, which places them in classes [Martin,CB]
     Full Idea: If objects belong to classes in virtue of resemblances they bear to one another, they resemble one another in virtue of their properties. Objects resemble in some way or respect, and you could think of these ways or respects as 'properties'.
     From: C.B. Martin (The Mind in Nature [2008], 04.6)
     A reaction: If you pare the universe down to one object with five distinct properties, they resemble nothing, and fail this definition. Resemblance seems like the epistemology, not the ontology.
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Properties are ways particular things are, and so they are tied to the identity of their possessor [Martin,CB]
     Full Idea: The redness or sphericity of this tomato cannot migrate to another tomato. This is a consequence of the idea that properties are particular ways things are. The identity of a property is bound up with the identity of its possessor.
     From: C.B. Martin (The Mind in Nature [2008], 04.6)
     A reaction: This is part of his declaration that he believes in tropes. At the very least, properties can be thought of separately, and have second-order properties that don't seem tied to the particulars.
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Objects are not bundles of tropes (which are ways things are, not parts of things) [Martin,CB]
     Full Idea: The bundle theory for tropes treats properties inappositely as parts of objects. Objects can have parts, but an object's properties are not its parts, they are particular ways the object is.
     From: C.B. Martin (The Mind in Nature [2008], 04.6)
     A reaction: The 'way an object is' seems a very vague concept. Most things that get labelled as tropes are actually highly complex. Without mention of causal powers I think these discussions drift in a muddle.
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
A property that cannot interact is worse than inert - it isn't there at all [Martin,CB]
     Full Idea: A property that is intrinsically incapable of affecting or being affected by anything else, actual or possible, is not merely a case of inertness - it amounts to a no-thing.
     From: C.B. Martin (The Mind in Nature [2008], 06.6)
     A reaction: In the end Martin rejects Shoemaker's purely causal account of properties, but he clearly understands Shoemaker's point well.
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
If unmanifested partnerless dispositions are still real, and are not just qualities, they can explain properties [Martin,CB]
     Full Idea: Given a realist view of dispositions as fully actual, even without manifestations or partners, a purely dispositional account of properties has a degree of plausibility, which is enhanced because properties lack purely qualitative characterisations.
     From: C.B. Martin (The Mind in Nature [2008], 06.4)
     A reaction: In the end Martin opts for a mixed account, as in Idea 15484, but he gives reasons here for the view which I favour. If he concedes that dispositions may exist without manifestation, they must surely lack qualities. Are they not properties, then?
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Properties endow a ball with qualities, and with powers or dispositions [Martin,CB]
     Full Idea: Each property endows a ball with a distinctive qualitative character and a distinctive range of powers or dispositionalities.
     From: C.B. Martin (The Mind in Nature [2008], 04.6)
     A reaction: I think this is the wrong way round. Do properties support powers, or powers support properties? I favour the latter. Properties are much vaguer than powers. Powers generate the required causation and activity.
Qualities and dispositions are aspects of properties - what it exhibits, and what it does [Martin,CB]
     Full Idea: For any intrinsic and irreducible property, what is qualitative and what is dispositional are one and the same property considered as what that property exhibits of its nature and what that property is directive and selective for in its manifestation.
     From: C.B. Martin (The Mind in Nature [2008], 06.6)
     A reaction: This is supposed to support qualities and dispositions as equal partners, but I don't see how 'what a property exhibits' can have any role in fundamental ontology. What it exhibits may be very misleading about its nature.
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Dispositions in action can be destroyed, be recovered, or remain unchanged [Martin,CB]
     Full Idea: Three forms of dispositionality are illustrated by explosives (which are destroyed by manifestation), being soluble (where the dispositions is lost but recoverable), and being stable (where the disposition is unchanged).
     From: C.B. Martin (The Mind in Nature [2008], 02.7)
     A reaction: [compressed] Presumably the explosives could be recovered after the explosion, since the original elements are still there, but it would take a while. The retina remains stable by continually changing. There are no simple distinctions!
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
Powers depend on circumstances, so can't be given a conditional analysis [Martin,CB]
     Full Idea: Nobody believes, or ought to believe, that manifestations of powers follow upon the single event mentioned in the antecedent of the conditional independently of the circumstances.
     From: C.B. Martin (The Mind in Nature [2008], 02.4)
     A reaction: Another way of putting it would be that the behaviour of powers is more ceteris paribus than law.
'The wire is live' can't be analysed as a conditional, because a wire can change its powers [Martin,CB]
     Full Idea: According to the conditional analysis of 'the wire is live', if the wire is touched then it gives off electricity. What ultimately defeats this analysis is the acknowledged possibility of objects gaining or losing powers.
     From: C.B. Martin (The Mind in Nature [2008], 02.3)
     A reaction: He offers his 'electro-fink' as a counterexample, where touching the wire changes its disposition. The conditional analysis is simple and clearcut, but dispositions in reality are complex and unstable.
9. Objects / C. Structure of Objects / 1. Structure of an Object
Structural properties involve dispositionality, so cannot be used to explain it [Martin,CB]
     Full Idea: I take it as obvious that any structural property involves dispositionality and, therefore, cannot be used to 'explain' dispositionality.
     From: C.B. Martin (The Mind in Nature [2008], 04.3)
     A reaction: I think this is the right way round. The so-called 'categorical' properties seem to be close in nature to the 'structural' properties.
Structures don't explain dispositions, because they consist of dispositions [Martin,CB]
     Full Idea: It is self-defeating to try to explain dispositionality in terms of structural states because structural states are themselves dispositional.
     From: C.B. Martin (The Mind in Nature [2008], 01.2)
     A reaction: No doubt structures have dispositions, but are they entirely dispositional? Might there be 'emergent' dispositions which can only be explained by the structure itself, rather than by the dispositions that make up the structure?
9. Objects / C. Structure of Objects / 7. Substratum
I favour the idea of a substratum for properties; spacetime seems to be just a bearer of properties [Martin,CB]
     Full Idea: I favour the old idea of substratum: the haver of properties not itself had as a property. Space-time might itself be the bearer of properties, not itself borne as a property.
     From: C.B. Martin (The Mind in Nature [2008], 04.6)
     A reaction: A very nice idea. The choice is between saying either that fundamentals like space-time and physical fields are the propertyless bearers of properties, or that they purely consist of properties (so properties are fundamental, not substrata).
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Properly understood, wholes do no more causal work than their parts [Martin,CB]
     Full Idea: There is no causal work for the whole that is not done by the parts, provided the complex role of the parts is fully appreciated.
     From: C.B. Martin (The Mind in Nature [2008], 04.1)
     A reaction: It seems like a truth that because some parts are doing particular causal work (e.g. glue), the whole can acquire causal powers that the mereological sum of parts lacks.
9. Objects / F. Identity among Objects / 1. Concept of Identity
Only abstract things can have specific and full identity specifications [Martin,CB]
     Full Idea: Abstract entities (as nonspatiotemporal) seem to be the only candidates for specific and full identity specifications.
     From: C.B. Martin (The Mind in Nature [2008], 05.2 n1)
     A reaction: Martin says that only the 'mad logician' seeks such specifications elsewhere. Some people like persons to have perfect identity. God is a popular candidate too. Can objects have perfect 'macroscopic' identity?
The concept of 'identity' must allow for some changes in properties or parts [Martin,CB]
     Full Idea: We must avoid a use of 'identity' that implies that any entity over time must be said to lack continuing identity simply because it has changed properties or has lost, added, or had substituted some parts.
     From: C.B. Martin (The Mind in Nature [2008], 04.3)
     A reaction: This may the key area where the logical-mathematical type of philosophy comes into contact with the natural-metaphysical type. Imagine Martin's concept of 'identity' in mathematics. π changes to 3.1387... during the calculation!
10. Modality / E. Possible worlds / 1. Possible Worlds / c. Possible worlds realism
It is pointless to say possible worlds are truthmakers, and then deny that possible worlds exist [Martin,CB]
     Full Idea: To claim that the truthmaker for a counterfactual, for example, is a set of possible worlds, but to deny that these worlds really exist, seems pointless.
     From: C.B. Martin (The Mind in Nature [2008], 03.3)
     A reaction: Lewis therefore argues that they do exist. Martin argues that possible worlds are not truthmakers. He rests his account of modality on dispositions. I prefer Martin.
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
Explanations are mind-dependent, theory-laden, and interest-relative [Martin,CB]
     Full Idea: Explanations are mind-dependent, theory-laden, and interest-relative.
     From: C.B. Martin (The Mind in Nature [2008], 10.2)
     A reaction: I don't think you can rule out the 'real' explanation, as the one dominant causal predecessor, such as the earthquake producing a tsunami.
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
Analogy works, as when we eat food which others seem to be relishing [Martin,CB]
     Full Idea: The long-derided way of analogy works! Otherwise why, when someone else is relishing a food we have not tried, is it reasonable for us to try it ourselves?
     From: C.B. Martin (The Mind in Nature [2008], 12.2)
     A reaction: Why wouldn't we rush to eat something an animal was relishing? Nice idea.
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?'
Memory requires abstraction, as reminders of what cannot be fully remembered [Martin,CB]
     Full Idea: Selectivity and abstraction are required for the development of memory, because reminders and promptings are rarely replicas of what is being remembered.
     From: C.B. Martin (The Mind in Nature [2008], 10.3)
     A reaction: I take the key idea of mental life to be that of a 'label'. This need not be verbal, so 'conceptual label'. It could be an image, as on a road sign. Labelling is the most indispensable aspect of thought. We label objects, parts, properties and groups.
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.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Instead of a cause followed by an effect, we have dispositions in reciprocal manifestation [Martin,CB]
     Full Idea: The two-event cause-and-effect view is easily avoided and replaced by the view of mutual manifestations of reciprocal disposition partners, suggesting a natural contemporaneity.
     From: C.B. Martin (The Mind in Nature [2008], 05.1)
     A reaction: This view, which I find much more congenial than the traditional one, is explored in the ideas of Mumford and Anjum.
Causation should be explained in terms of dispositions and manifestations [Martin,CB]
     Full Idea: Disposition and manifestation are the basic categories by means of which cause and effect are to be explained.
     From: C.B. Martin (The Mind in Nature [2008], 07.8)
     A reaction: 'Manifestation' sounds a bit subjective. The manifestation evident to us may not indicate what is really going on below the surface. I like his basic picture.
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Causal counterfactuals are just clumsy linguistic attempts to indicate dispositions [Martin,CB]
     Full Idea: 'Causal' counterfactuals have a place, of course, but only as clumsy and inexact linguistic gestures to dispositions, and they should be kept in that place.
     From: C.B. Martin (The Mind in Nature [2008], 02.6)
     A reaction: Counterfactuals only seem to give a regularity account of causation, by correlating an effect with a minimal context which will give rise to it. Surely dispositions run deeper than that?
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Causal laws are summaries of powers [Martin,CB]
     Full Idea: Causal laws are summaries of what entities are capable and incapable of.
     From: C.B. Martin (The Mind in Nature [2008], 02.8)
     A reaction: That's a pretty good formulation. Personally I favour a Humean analysis, perhaps along Lewis's lines, but on a basis of real powers. This remark of Martin's has got me rethinking.
27. Natural Reality / C. Space / 6. Space-Time
We can't think of space-time as empty and propertyless, and it seems to be a substratum [Martin,CB]
     Full Idea: It makes no sense in ontology or modern physics to think of space-time as empty and propertyless. Space-time nicely fulfils the condition of a substratum.
     From: C.B. Martin (The Mind in Nature [2008], 04.6)
     A reaction: At the very least, space-time seems to be 'curved', so it had better be something. Time has properties like being transitive. Space-time (or fields) might be a pure bundle of properties (the only pure bundle?), rather than a substratum.