Combining Texts

All the ideas for 'Logical Consequence', 'Counterfactual Dependence and Time's Arrow' and 'The Second Coming'

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17 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophers should interpret the world, by expressing its possibilities [Berardi]
     Full Idea: The philosopher's task is to interpret the world, that is, to capture its tendency and above all to enunciate the possibilities inscribed therein. …The politician's eye does not see the possible, being attracted instead by the probable.
     From: Franco 'Bifo' Berardi (The Second Coming [2019], How to)
     A reaction: An inspiring idea! He is rejecting Marx's aim of changing the world, which had 'catastrophic' results. But I love his view of interpretation as spotting tendencies and possibilities. This fits my preferred ontology of dispositions and powers.
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
     Full Idea: 'Equivocation' is when the terms do not mean the same thing in the premises and in the conclusion.
     From: JC Beall / G Restall (Logical Consequence [2005], Intro)
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
     Full Idea: Logic is purely formal either when it is invariant under permutation of object (Tarski), or when it has totally abstracted away from all contents, or it is the constitutive norms for thought.
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
     A reaction: [compressed] The third account sounds rather woolly, and the second one sounds like a tricky operation, but the first one sounds clear and decisive, so I vote for Tarski.
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
     Full Idea: Technical work on logical consequence has either focused on proofs, where validity is the existence of a proof of the conclusions from the premises, or on models, which focus on the absence of counterexamples.
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
     Full Idea: Two different views of logical consequence are necessary truth-preservation (based on modelling possible worlds; favoured by Realists), or truth-preservation based on the meanings of the logical vocabulary (differing in various models; for Anti-Realists).
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
     A reaction: Thus Dummett prefers the second view, because the law of excluded middle is optional. My instincts are with the first one.
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
     Full Idea: A logical step is a 'material consequence' and not a formal one, if we need the contents as well as the structure or form.
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
     Full Idea: If a conclusion follows from an empty collection of premises, it is true by logic alone, and is a 'logical truth' (sometimes a 'tautology'), or, in the proof-centred approach, 'theorems'.
     From: JC Beall / G Restall (Logical Consequence [2005], 4)
     A reaction: These truths are written as following from the empty set Φ. They are just implications derived from the axioms and the rules.
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
     Full Idea: Models are abstract mathematical structures that provide possible interpretations for each of the non-logical primitives in a formal language.
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
     Full Idea: There are many proof-systems, the main being Hilbert proofs (with simple rules and complex axioms), or natural deduction systems (with few axioms and many rules, and the rules constitute the meaning of the connectives).
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Nothingness only exists in consciousness [Berardi]
     Full Idea: Consciousness is the only place where nothingness exists.
     From: Franco 'Bifo' Berardi (The Second Coming [2019], II 'Expanding')
     A reaction: Not sure about this, but an interesting remark from someone with a Hegelian background. We certainly have a concept of nothingness (a mental file of it, even).
16. Persons / F. Free Will / 5. Against Free Will
The delusion of free will brings a sense of guilt [Berardi]
     Full Idea: A sense of guilt is linked to the delusion of free will.
     From: Franco 'Bifo' Berardi (The Second Coming [2019], How to)
     A reaction: I agree that free will is a delusion, but I'm not sure about this. Clearly if you think you are 'ultimately' responsible for all of your actions this will increase guilt, but belief in free will is compatible with various excuses for actions.
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
American white men trusted the philosophy of winning, and then discovered losing [Berardi]
     Full Idea: American white men trusted the promises of neoliberal selfishness, they trusted the philosophy of winning, then discovered losing.
     From: Franco 'Bifo' Berardi (The Second Coming [2019], I 'Fascism')
     A reaction: The most pernicious terminology in the English-speaking world is the labelling of people as 'winners' and 'losers'. We celebrate the one winner, and ignore everyone else. Celebrity, excessive wealth, honourable titles.
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Community is now a nostalgic memory, which no longer exists [Berardi]
     Full Idea: Community is only a nostalgic memory of a past condition of belonging that exists no longer. Regret, not a living experience.
     From: Franco 'Bifo' Berardi (The Second Coming [2019], I 'Fascism')
     A reaction: It is hard to disagree with this. Local heroes in my town make lovely efforts to improve the place (with flowers, sculptures) but most of us don't know who they are. Capitalist competition erodes community.
24. Political Theory / D. Ideologies / 9. Communism
Communism failed to unite western workers with the oppressed of the south [Berardi]
     Full Idea: Communist internationalism was the only attempt to reconcile the workers of the West and the oppressed population of the Global South, and this attempt failed.
     From: Franco 'Bifo' Berardi (The Second Coming [2019], I 'Hundred')
     A reaction: It was unfortunate that communism was launched in Russia, which we now see (in 2023) as poisoned by imperialist ambitions, and quite unsuited to international idealism. The Chinese are notably active in Africa.
24. Political Theory / D. Ideologies / 11. Capitalism
The economy has replaced medieval theocracy at the centre of our society [Berardi]
     Full Idea: The economy has progressively acquired the central place in the system of knowledge and research. Re-enacting the privilege of theocracy in the Middle Ages.
     From: Franco 'Bifo' Berardi (The Second Coming [2019], I 'Knowledge')
     A reaction: Illuminating. This is indeed how the economy is treated, centring on Gross National Product (no matter how distributed), and economic league tables. Is it even a quasi-religion?
24. Political Theory / D. Ideologies / 14. Nationalism
Western workers turn to nationalism, to avert the effects of globalisation [Berardi]
     Full Idea: Western workers are following nationalist agendas in order to avert the effects of globalization, and resorting to nationalist and racist forms of identification.
     From: Franco 'Bifo' Berardi (The Second Coming [2019], I 'Hundred')
     A reaction: By 'globalisation' must be meant the impersonal work and exploitation that results from huge ruthless anonymous companies. People barely know who they are working for, so it can't give them an identity.
26. Natural Theory / C. Causation / 5. Direction of causation
There are few traces of an event before it happens, but many afterwards [Lewis, by Horwich]
     Full Idea: Lewis claims that most events are over-determined by subsequent states of the world, but not by their history. That is, the future of every event contains many independent traces of its occurrence, with little prior indication that it would happen.
     From: report of David Lewis (Counterfactual Dependence and Time's Arrow [1979]) by Paul Horwich - Lewis's Programme p.209
     A reaction: Lewis uses this asymmetry to deduce the direction of causation, and hence the direction of time. Most people (including me, I think) would prefer to use the axiomatic direction of time to deduce directions of causation. Lewis was very wicked.