Friday, September 30, 2022

Spinoza's Ethics: II.P37

Id quod omnibus commune (de his vide supra lemma 2) quodque æque in parte ac in toto est, nullius rei singularis essentiam constituit.

That which is common to all things (concerning these, see IIL2) each equal in part and in the whole, does not constitute the essence of any singular thing.

DEMONSTRATIO: Si negas, concipe si fieri potest, id essentiam alicujus rei singularis constituere nempe essentiam B. Ergo (per definitionem 2 hujus) id sine B non poterit esse neque concipi; atqui hoc est contra hypothesin : ergo id ad essentiam B non pertinet nec alterius rei singularis essentiam constituit. Q.E.D.

If you deny this, conceive if it is possible, that the essence of some singular thing constitutes the certain essence B. Therefore (by IID2) that without B it is neither able to be nor be conceived; and yet this is contrary to the hypothesis: thus that does not pertain to the essence B and does not constitute the essence of another singular thing.

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