Lexicon of Arguments

 

Berka I 29
Icon/Peirce: degenerate relation between sign and object: mere similarity.
I 30
Conclusion/Peirce: needs in addition to symbol (for truth) and index (both together (for sentence formation) the 3rd character: the icon: because inference consists in the observation that where certain relations exist, some other relations can be found.
>Conclusion, >Symbols, >Icons, >Relations.
These relations must be represented by an icon - e.g. the middle term of the syllogism must actually occur in both premises.⁽¹⁾
>Syllogisms, >Premises.
I 35f
Icon/logic/Peirce: Icons of logic: 1. Identity formula: x > y (implication) - second switch-over of antecedents (premises) - 3. transitivity of the copula (= modus barbara) -> copy of a final chain - ((s) icons/Peirce/(s): always have to do with representation and observability of similarity).
I 37
Icons/logic/Peirce: 4. Icon: negation: b should be so that we can write, b > x whatever x may be, then b is wrong ((s) EFQM) - ..if from the truth of x the falsity of y follows, then, also conversely, from the truth of y follows the falsity of x - 5. Icon: law of excluded third.
I 48
Icons/logic/Peirce: 9. Icon: every individual can be considered as a unit class - 10. Icon: complement - 11. Icon: Association - 12. Two distinct classes must differ in at least one element.⁽¹⁾.
>Index/Peirce, >Symbol/Peirce, >Signs/Peirce.

1. Ch. S. Peirce, On the algebra of logic. A contribution to the philosophy of notation. American Journal of Mathematics 7 (1885), pp. 180-202 – Neudruck in: Peirce, Ch. S., Collected Papers ed. C. Hartstone/P. Weiss/A. W. Burks, Cambridge/MA 1931-1958, Vol. III, pp. 210-249