Lexicon of Arguments

 

I 89 f
Number/Frege: the number is an abstract object - not a property (see below).
Equality of Numbers/numerical equality/equality: numerical equality is a term (not a subject).
>Numbers, >Objects.
I 94
Equality/Frege: if a = b is true can be found out by introducing a third element (a mark), is there a c, for which the following applies: a = c and b = c? ((s) tertium comparationis) ((s) here: e.g. equality in terms of numbers).
I 95
Equality/Frege: ((s) equality of numbers/numerical equality/(s) is a concept, not an object - we need it here.)
Frege: assuming equality simpliciter would demand that it would have to be re-explained in any case, by establishing an equation.
>Concepts.
I 95
Direction/Frege: we can obtain the concept of direction from the parallelism of straight lines - by conceiving a II b as an equation. From this we abstract the concept of direction. Also with parallelism the concept of equality is established first. ((s) But not the equality of direction).
I 96
Direction/Frege: direction cannot be distinguished from the straight.
I 102
Equality of Numbers/numerical equality/numbers/definition/Frege/(s): quantity can be defined by numerical equality, because there is no need to count for numerical equality! E.g. assigning knives to plates without counting.
>Definition.