|Logic: logic is the doctrine of the admissibility or inadmissibility of relations between statements and thus the validity of the compositions of these statements. In particular, the question is whether conclusions can be obtained from certain presuppositions such as premises or antecedents. Logical formulas are not interpreted at first. Only the interpretation, i. e. the insertion of values, e.g. objects instead of the free variables, makes the question of their truth meaningful._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. |
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Logic/Brandom: do not only restrict to formally valid inferences. - BrandomVsFormalism: one should assume silent premises and implicit logic rules with everyone - Dummett: one should not define logical consequences in concepts of logical truth.
Achilles and the tortoise/Carroll: however, some inferential definitions must be implied. - There must be rules, not only truths.
Tells us something about the conceptual contents task: not proving something - the formal accuracies are derived from the material accuracies, which contain much more non-logical vocabulary.
Logic/Frege/Brandom: The task is an expressive one: not to prove something, but to say it - even in science concepts are formed arbitrarily - Goal: not a certain kind of truth but of inferences.
Conceptual contents are considered to be identified through their inferential role - which requires that one can speak meaningfully about consequences, even before a specific logical vocabulary is introduced.
Logic/Brandom: the use of identity and quantifiers requires the use of singular terms and predicates. Terms (symmetric) must be interchangeable (identity) - predicates (asymmetric) must provide the frame for expressing incompatibilities - BrandomVsFormalism: Accuracies of inference are not always the same as logical correctness.
Logic/tradition: bottom-up: from the analysis of the meanings of the singular terms to the judgments.
Brandom, New: top-down: Pragmatism: first, the use of terms - ((s) always in complete sentences.)_____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.
Expressive Vernunft Frankfurt 2000
Begründen und Begreifen Frankfurt 2001