MS 468-471 (1903) - Lowell Lecture V

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It is not required that g should be true

It is not required that some a is b (i.e. it may be that no a is b)

It may be that every a is b

It may be that if a then b de inesse

Either no a can be b or any a can be b

4

Permissions

5 [text only]

If two graph replicas are severally permissible on the sheet of assertion they are permissible together

Principle of Contradiction

Principle of Excluded Middle

A continuous line is such that if there is any dyadic relation, r, and any class of objects the p's, such that the existence of a p does not consist in the existence of anything such that no point of the line can be in the relation r to two different p's and if A is an individual p and B is an individual p every point of the line is either r to A or r to B any a point of the line is r to A and a point is r to B, it follows ipso facto that A and B are identical

A continuous line is a place such that if there are two different individuals, A and B, whose existence does not consist in any proposition expressing a more direct Secondness, and if there is a dyadic relation r such that every point of the line is in this relation, r, to one or other of the individuals A and B, then there is ipso facto a point which is in that relation, r, to both A and B.