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All the ideas for 'Logical Consequence', 'German Philosophy 1760-1860' and '03: Book of Leviticus'

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14 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy
Wolff's version of Leibniz dominated mid-18th C German thought [Pinkard]
     Full Idea: The dominant philosophy of mid-eighteenth century Germany was Wolffianism, a codified and almost legalistically organised form of Leibnizian thought.
     From: Terry Pinkard (German Philosophy 1760-1860 [2002], Intro)
     A reaction: Kant grew up in this intellectual climate.
Romantics explored beautiful subjectivity, and the re-enchantment of nature [Pinkard]
     Full Idea: Early Romanticism can be seen as the exploration of subjective interiority and as the re-enchantment of nature (as organic). Hegel said they had the idea of a 'beautiful soul', which (he said) either paralysed action, or made them smug.
     From: Terry Pinkard (German Philosophy 1760-1860 [2002], 06)
     A reaction: [compressed, inc Note 1] A major dilemma of life is the extent of our social engagement, because it makes life worthwhile, but pollutes the mind with continual conflicts.
The combination of Kant and the French Revolution was an excited focus for German philosophy [Pinkard]
     Full Idea: After the French Revolution, philosophy suddenly became the key rallying point for an entire generation of German intellectuals, who had been reading Kant as the harbinger of a new order.
     From: Terry Pinkard (German Philosophy 1760-1860 [2002], Pt II Intro)
     A reaction: Kant was a harbinger because he offered an autonomous status to each individual, rather than being subservient to a social order.
1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / d. Nineteenth century philosophy
In Hegel's time naturalism was called 'Spinozism' [Pinkard]
     Full Idea: In Hegel's time the shorthand for the Naturalistic worldview was 'Spinozism'.
     From: Terry Pinkard (German Philosophy 1760-1860 [2002], 10)
     A reaction: Spinozism hit Germany like a bomb in 1786, when it was reported that the poet Hölderlin was a fan of Spinoza.
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)
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
Idealism is the link between reason and freedom [Pinkard]
     Full Idea: Idealism was conceived as a link between reason and freedom.
     From: Terry Pinkard (German Philosophy 1760-1860 [2002], 14 Conc)
     A reaction: I'm beginning to see the Romantic era as the Age of Freedom, which followed the Age of Reason. This idea fits that picture nicely. Pinkard says that paradoxes resulted from the attemptl
22. Metaethics / B. Value / 2. Values / g. Love
Thou shalt love thy neighbour as thyself [Anon (Leviticus)]
     Full Idea: Thou shalt love thy neighbour as thyself.
     From: Anon (Lev) (03: Book of Leviticus [c.700 BCE], 19.18)
     A reaction: Most Christians think Jesus originated this thought. Interestingly, this precedes Socrates, who taught a similar idea.