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All the ideas for 'Logical Pluralism', 'Mathematics and the Metaphysicians' and 'The Trouble with Being Born'

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44 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
So-called wisdom is just pondering things instead of acting [Cioran]
     Full Idea: What is known as 'wisdom' is ultimately only a perpetual 'thinking it over', i.e. non-action as first impulse.
     From: E.M. Cioran (The Trouble with Being Born [1973], 01)
     A reaction: This may be how most people view wisdom. Wisdom is for the spectators, not the actors (perhaps). Wisdom needs a lot of thought, and I don't associate it with extremely active people.
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Systems are the worst despotism, in philosophy and in life [Cioran]
     Full Idea: Aristotle, Aquinas, Hegel - three enslavers of the mind. The worst form of despotism is the system, in philosophy and in everything.
     From: E.M. Cioran (The Trouble with Being Born [1973], 07)
     A reaction: I'm not quite clear why intellectual 'despotism' is a dreadful crime. I revere Aristotle, partly because he is systematic, but I reject about 30% of what he says. Still, many people agree with this idea.
1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
A text explained ceases to be a text [Cioran]
     Full Idea: Why embroider upon what excludes commentary? A text explained is not longer a text.
     From: E.M. Cioran (The Trouble with Being Born [1973], 09)
     A reaction: I like that. I'm not a great fan of explicating texts, especially if they are literary, where the whole point is the primary experience, of a novel, poem or play. Philosophy is different, because that is a dialogue between writer and reader.
3. Truth / A. Truth Problems / 1. Truth
Some truths have true negations [Beall/Restall]
     Full Idea: Dialetheism is the view that some truths have true negations.
     From: JC Beall / G Restall (Logical Pluralism [2006], 7.4)
     A reaction: The important thing to remember is that they are truths. Thus 'Are you feeling happy?' might be answered 'Yes and no'.
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
A truthmaker is an object which entails a sentence [Beall/Restall]
     Full Idea: The truthmaker thesis is that an object is a truthmaker for a sentence if and only if its existence entails the sentence.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.5.3)
     A reaction: The use of the word 'object' here is even odder than usual, and invites many questions. And the 'only if' seems peculiar, since all sorts of things can make a sentence true. 'There is someone in the house' for example.
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
(∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically [Beall/Restall]
     Full Idea: The inference of 'distribution' (∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically. It is straightforward to construct a 'stage' at which the LHS is true but the RHS is not.
     From: JC Beall / G Restall (Logical Pluralism [2006], 6.1.2)
     A reaction: This seems to parallel the iterative notion in set theory, that you must construct your hierarchy. All part of the general 'constructivist' approach to things. Is some kind of mad platonism the only alternative?
4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic
Excluded middle must be true for some situation, not for all situations [Beall/Restall]
     Full Idea: Relevant logic endorses excluded middle, ..but says instances of the law may fail. Bv¬B is true in every situation that settles the matter of B. It is necessary that there is some such situation.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.2)
     A reaction: See next idea for the unusual view of necessity on which this rests. It seems easier to assert something about all situations than just about 'some' situation.
It's 'relevantly' valid if all those situations make it true [Beall/Restall]
     Full Idea: The argument from P to A is 'relevantly' valid if and only if, for every situation in which each premise in P is true, so is A.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.2)
     A reaction: I like the idea that proper inference should have an element of relevance to it. A falsehood may allow all sorts of things, without actually implying them. 'Situations' sound promising here.
Relevant consequence says invalidity is the conclusion not being 'in' the premises [Beall/Restall]
     Full Idea: Relevant consequence says the conclusion of a relevantly invalid argument is not 'carried in' the premises - it does not follow from the premises.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.3.3)
     A reaction: I find this appealing. It need not invalidate classical logic. It is just a tougher criterion which is introduced when you want to do 'proper' reasoning, instead of just playing games with formal systems.
Relevant logic does not abandon classical logic [Beall/Restall]
     Full Idea: We have not abandoned classical logic in our acceptance of relevant logic.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.4)
     A reaction: It appears that classical logic is straightforwardly accepted, but there is a difference of opinion over when it is applicable.
A doesn't imply A - that would be circular [Beall/Restall]
     Full Idea: We could reject the inference from A to itself (on grounds of circularity).
     From: JC Beall / G Restall (Logical Pluralism [2006], 8)
     A reaction: [Martin-Meyer System] 'It's raining today'. 'Are you implying that it is raining today?' 'No, I'm SAYING it's raining today'. Logicians don't seem to understand the word 'implication'. Logic should capture how we reason. Nice proposal.
Relevant logic may reject transitivity [Beall/Restall]
     Full Idea: Some relevant logics reject transitivity, but we defend the classical view.
     From: JC Beall / G Restall (Logical Pluralism [2006], 8)
     A reaction: [they cite Neil Tennant for this view] To reject transitivity (A?B ? B?C ? A?C) certainly seems a long way from classical logic. But in everyday inference Tennant's idea seems good. The first premise may be irrelevant to the final conclusion.
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
Free logic terms aren't existential; classical is non-empty, with referring names [Beall/Restall]
     Full Idea: A logic is 'free' to the degree it refrains from existential import of its singular and general terms. Classical logic must have non-empty domain, and each name must denote in the domain.
     From: JC Beall / G Restall (Logical Pluralism [2006], 7.1)
     A reaction: My intuition is that logic should have no ontology at all, so I like the sound of 'free' logic. We can't say 'Pegasus does not exist', and then reason about Pegasus just like any other horse.
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic studies consequence; logical truths are consequences of everything, or nothing [Beall/Restall]
     Full Idea: Nowadays we think of the consequence relation itself as the primary subject of logic, and view logical truths as degenerate instances of this relation. Logical truths follow from any set of assumptions, or from no assumptions at all.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.2)
     A reaction: This seems exactly right; the alternative is the study of necessities, but that may not involve logic.
Syllogisms are only logic when they use variables, and not concrete terms [Beall/Restall]
     Full Idea: According to the Peripatetics (Aristotelians), only syllogistic laws stated in variables belong to logic, and not their applications to concrete terms.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.5)
     A reaction: [from Lukasiewicz] Seems wrong. I take it there are logical relations between concrete things, and the variables are merely used to describe these relations. Variables lack the internal powers to drive logical necessities. Variables lack essence!
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]
     Full Idea: Through much of the 20th century the conception of logic was inherited from Frege and Russell, as knowledge of a body of logical truths, as arithmetic or geometry was a knowledge of truths. This is odd, and a historical anomaly.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.2)
     A reaction: Interesting. I have always taken this idea to be false. I presume logic has minimal subject matter and truths, and preferably none at all.
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall]
     Full Idea: Logic does not study formal languages for their own sake, which is formal grammar. Logic evaluates arguments, and primarily considers formal languages as interpreted.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.1)
     A reaction: Hodges seems to think logic just studies formal languages. The current idea strikes me as a much more sensible view.
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
The model theory of classical predicate logic is mathematics [Beall/Restall]
     Full Idea: The model theory of classical predicate logic is mathematics if anything is.
     From: JC Beall / G Restall (Logical Pluralism [2006], 4.2.1)
     A reaction: This is an interesting contrast to the claim of logicism, that mathematics reduces to logic. This idea explains why students of logic are surprised to find themselves involved in mathematics.
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
There are several different consequence relations [Beall/Restall]
     Full Idea: We are pluralists about logical consequence because we take there to be a number of different consequence relations, each reflecting different precisifications of the pre-theoretic notion of deductive logical consequence.
     From: JC Beall / G Restall (Logical Pluralism [2006], 8)
     A reaction: I don't see how you avoid the slippery slope that leads to daft logical rules like Prior's 'tonk' (from which you can infer anything you like). I say that nature imposes logical conquence on us - but don't ask me to prove it.
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
A sentence follows from others if they always model it [Beall/Restall]
     Full Idea: The sentence X follows logically from the sentences of the class K if and only if every model of the class K is also a model of the sentence X.
     From: JC Beall / G Restall (Logical Pluralism [2006], 3.2)
     A reaction: This why the symbol |= is often referred to as 'models'.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
Negation doesn't arise from reasoning, but from deep instincts [Cioran]
     Full Idea: Negation never proceeds from reasoning but from something much more obscure and old. Arguments come afterward, to justify and sustain it. Every no rises out of the blood.
     From: E.M. Cioran (The Trouble with Being Born [1973], 02)
     A reaction: Music to my ears. In the Fregean era no one is allowed to talk about the origins of logical relations in the universal facts of physical existence. You can watch dogs saying no.
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall]
     Full Idea: If mathematical truth reduces to logical truth then it is important what counts as logically true, …but if logicism is not a going concern, then the body of purely logical truths will be less interesting.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.2)
     A reaction: Logicism would only be one motivation for pursuing logical truths. Maybe my new 'Necessitism' will derive the Peano Axioms from broad necessary truths, rather than from logic.
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
     Full Idea: Presumably Zeno appealed to the axiom that the whole has more terms than the parts; so if Achilles were to overtake the tortoise, he would have been in more places than the tortoise, which he can't be; but the conclusion is absurd, so reject the axiom.
     From: Bertrand Russell (Mathematics and the Metaphysicians [1901], p.89)
     A reaction: The point is that the axiom is normally acceptable (a statue contains more particles than the arm of the statue), but it breaks down when discussing infinity (Idea 7556). Modern theories of infinity are needed to solve Zeno's Paradoxes.
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / d. The Preface paradox
Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall]
     Full Idea: The Paradox of the Preface is an apology, that you are committed to each proposition in the book, but admit that collectively they probably contain a mistake. There is a contradiction, of affirming and denying the conjunction of propositions.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.4)
     A reaction: This seems similar to the Lottery Paradox - its inverse perhaps. Affirm all and then deny one, or deny all and then affirm one?
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematic we are ignorant of both subject-matter and truth [Russell]
     Full Idea: Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
     From: Bertrand Russell (Mathematics and the Metaphysicians [1901], p.76)
     A reaction: A famous remark, though Musgrave is rather disparaging about Russell's underlying reasoning here.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A collection is infinite if you can remove some terms without diminishing its number [Russell]
     Full Idea: A collection of terms is infinite if it contains as parts other collections which have as many terms as it has; that is, you can take away some terms of the collection without diminishing its number; there are as many even numbers as numbers all together.
     From: Bertrand Russell (Mathematics and the Metaphysicians [1901], p.86)
     A reaction: He cites Dedekind and Cantor as source for these ideas. If it won't obey the rule that subtraction makes it smaller, then it clearly isn't a number, and really it should be banned from all mathematics.
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
The word 'being' is very tempting, but in fact means nothing at all [Cioran]
     Full Idea: Whether it is spoken by a grocer or a philosopher, the word 'being', apparently so rich, so tempting, so charged with significance, in fact means nothing at all; incredible that a man in his right mind can use it on any occasion whatever.
     From: E.M. Cioran (The Trouble with Being Born [1973], 12)
     A reaction: I entirely agree. It resembles the redundancy view of 'true' (with which I do not agree).
7. Existence / D. Theories of Reality / 4. Anti-realism
People who really believe anti-realism don't bother to prove it [Cioran]
     Full Idea: When you know quite absolutely that everything is unreal, you then cannot see why you should take the trouble to prove it.
     From: E.M. Cioran (The Trouble with Being Born [1973], 02)
     A reaction: Does the same apply to realists? There are at least genuine arguments in both directions. Presumably the thought is that realists have something they care about, but true anti-realists don't.
10. Modality / A. Necessity / 3. Types of Necessity
Relevant necessity is always true for some situation (not all situations) [Beall/Restall]
     Full Idea: In relevant logic, the necessary truths are not those which are true in every situation; rather, they are those for which it is necessary that there is a situation making them true.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.2)
     A reaction: This seems to rest on the truthmaker view of such things, which I find quite attractive (despite Merricks's assault). Always ask what is making some truth necessary. This leads you to essences.
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
Convictions are failures to study anything thoroughly [Cioran]
     Full Idea: We have convictions only if we have studied nothing thoroughly.
     From: E.M. Cioran (The Trouble with Being Born [1973], 08)
     A reaction: Excellent! I cannot imagine studying anything at all in great depth without it resulting in a dwindling expectation of full understanding. Philosophy in spades, but also probably any topic in history.
Opinions are fine, but having convictions means something has gone wrong [Cioran]
     Full Idea: To have opinions is inevitable, is natural; to have convictions is less so. Each time I meet someone who has convictions, I wonder what intellectual vice, what flaw has caused him to acquire such a thing.
     From: E.M. Cioran (The Trouble with Being Born [1973], 12)
     A reaction: 'The best lack all conviction/ While the worst are full of passionate intensity' (Yeats). I agree with this. Convictions are so often accompanied by anger.
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is often a mere will-o'-the-wisp [Russell]
     Full Idea: Self-evidence is often a mere will-o'-the-wisp, which is sure to lead us astray if we take it as our guide.
     From: Bertrand Russell (Mathematics and the Metaphysicians [1901], p.78)
     A reaction: The sort of nice crisp remark you would expect from a good empiricist philosopher. Compare Idea 4948. However Russell qualifies it with the word 'often', and all philosophers eventually realise that you have to start somewhere.
16. Persons / F. Free Will / 5. Against Free Will
If people always acted without words we would take them for robots [Cioran]
     Full Idea: It is because of speech that men give the illusion of being free. If they did - without a word - what they do, we would take them for robots.
     From: E.M. Cioran (The Trouble with Being Born [1973], 09)
     A reaction: Love this one. Though it might be said that the power of speech does add an extra dimension of freedom to an action, beyond what any animal could attain. I take the absolute idea of 'being free' to be nonsense.
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Judgement is always predicating a property of a subject [Beall/Restall]
     Full Idea: All judgement, for Kant, is essentially the predication of some property to some subject.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.5)
     A reaction: Presumably the denial of a predicate could be a judgement, or the affirmation of ambiguous predicates?
18. Thought / D. Concepts / 5. Concepts and Language / a. Concepts and language
If only we could write like a reptile, of endless sensations and no concepts! [Cioran]
     Full Idea: If only we could reach back before the concept, could write on a level with the senses, record the infinitesimal variations of what we touch, do what a reptile would do if it were to set about writing!
     From: E.M. Cioran (The Trouble with Being Born [1973], 02)
     A reaction: A lovely thought. It is a huge effort for us to try to imagine a mental life without concepts. And then to express that mental life in words…..!
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
We can rest truth-conditions on situations, rather than on possible worlds [Beall/Restall]
     Full Idea: Situation semantics is a variation of the truth-conditional approach, taking the salient unit of analysis not to be the possible world, or some complete consistent index, but rather the more modest 'situation'.
     From: JC Beall / G Restall (Logical Pluralism [2006], 5.5.4)
     A reaction: When I read Davidson (and implicitly Frege) this is what I always assumed was meant. The idea that worlds are meant has crept in to give truth conditions for modal statements. Hence situation semantics must cover modality.
19. Language / D. Propositions / 1. Propositions
Propositions commit to content, and not to any way of spelling it out [Beall/Restall]
     Full Idea: Our talk of propositions expresses commitment to the general notion of content, without a commitment to any particular way of spelling this out.
     From: JC Beall / G Restall (Logical Pluralism [2006], 2.1)
     A reaction: As a fan of propositions I like this. It leaves open the question of whether the content belongs to the mind or the language. Animals entertain propositions, say I.
20. Action / C. Motives for Action / 4. Responsibility for Actions
We could only be responsible if we had consented before birth to who we are [Cioran]
     Full Idea: The problem of responsibility would have a meaning only if we had been consulted before our birth and had consented to be precisely who we are.
     From: E.M. Cioran (The Trouble with Being Born [1973], 06)
     A reaction: The question could still be asked retrospectively, like agreeing to be in an army into which you have been conscripted. People gripped by deeply anti-social desires would probably welcome the chance to become different.
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
We morally dissolve if we spend time with excessive beauty [Cioran]
     Full Idea: Moral disintegration when we spend time in a place that is too beautiful: the self dissolves upon contact with paradise.
     From: E.M. Cioran (The Trouble with Being Born [1973], 06)
     A reaction: I'm not sure whether that is true, but it is worth thinking about the value of experiences which are overwhelming.
23. Ethics / F. Existentialism / 3. Angst
In anxiety people cling to what reinforces it, because it is a deep need [Cioran]
     Full Idea: In anxiety, a man clings to whatever can reinforce, can stimulate his providential discomfort: to try to cure him of it is to destroy his equilibrium, anxiety being the basis of his existence and his prosperity.
     From: E.M. Cioran (The Trouble with Being Born [1973], 09)
     A reaction: A report from the front line of the age of anxiety, on which I am not qualified to comment. I assume that some anxiety can be a good thing, like nerves before a public performance.
23. Ethics / F. Existentialism / 4. Boredom
It is better to watch the hours pass, than trying to fill them [Cioran]
     Full Idea: I do nothing, granted. But I see the hours pass - which is better than trying to fill them.
     From: E.M. Cioran (The Trouble with Being Born [1973], 01)
     A reaction: As Nietzsche would have pointed out, this came from a man who regularly wrote books. It is, though, certainly worth asking whether the way we fill our time is better than doing nothing.
Fear cures boredom, because it is stronger [Cioran]
     Full Idea: Fear is the antidote to boredom: the remedy must be stronger than the disease.
     From: E.M. Cioran (The Trouble with Being Born [1973], 05)
     A reaction: I suspect that this is the motivation of people who indulge in dangerous sports. Maybe all that is need is something daunting, rather than frightening.
25. Social Practice / F. Life Issues / 4. Suicide
Suicide is pointless, because it always comes too late [Cioran]
     Full Idea: It's not worth the bother of killing yourself, since you always kill yourself too late.
     From: E.M. Cioran (The Trouble with Being Born [1973], 02)
     A reaction: A neat thought, but unlikely to be true for those who commit suicide, which presumably results from a sustained and apparently incurable situation.
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
The first man obviously found paradise unendurable [Cioran]
     Full Idea: Paradise was unendurable, otherwise the first man would have adapted to it.
     From: E.M. Cioran (The Trouble with Being Born [1973], 01)
     A reaction: Seems a bit harsh. There was evidently one aspect that was missing (knowledge), and he was surprised to find himself ejected for wanting it. Like a holiday in a Mediterranean hotel, with good food.