| 7Dec 14. 5r
Hegel makes a great boast of the fact that his logic
developes its own method. Mine pursues a rational method
of which the logic itself is but the deduction or proof. Moreover
I am not forced to make my book unintelligible in order to
follow mine, but on the contrary it is the very procedure which
perspicuity demands. Another thing; Hegel never deduces the necessity
of considering what he considers before considering it; but
I never introduce a concept distinction without having deduced
the necessity for it.
Dec. 15
When the implication is constant, if two symbols are equal
in extension or intension they are equal in both. Neither can
be increased relatively to the other in either respect without diminishing
it in the other respect. Accordingly,
- If A and B are coextensive, they are cointensive.
- Increase the extension of A; you diminish its intension. Hence
if A is superordinate to B in extension, it is subordinate in intension.
3. Next add to B an extension which A has not. You take away
from it If we had increased the intension of B, we should have produced
the same result.
- Next add to B an extension which A has not. You diminish
its intension. You can not however leave it subordinated safe-
| 7Dec 14. 5r
Hegel makes a great boast of the fact that his logic
developes its own method. Mine pursues a rational method
of which the logic itself is but the deduction or proof. Moreover
I am not forced to make my book unintelligible in order to
follow mine, but on the contrary it is the very procedure which
perspicuity demands. Another thing; Hegel never deduces the necessity
of considering what he considers before considering it; but
I never introduce a concept distinction without having deduced
the necessity for it.
Dec. 15
When the implication is constant, if two symbols are equal
in extension or intension they are equal in both. Neither can
be increased relatively to the other in either respect without diminishing
it in the other respect. Accordingly,
- If A and B are coextensive, they are conintensive.
- Increase the extension of A; you diminish its intension. Hence
if A is superordinate to B in extension, it is subordinate in intension.
3. Next add to B an extension which A has not. You take away
from it If we had increased the intension of B, we should have produced
the same result.
- Next add to B an extension which A has not. You diminish
its intension. You can not however leave it subordinated safe-
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EN