'For the person or persons that hold dominion, can no more combine with the keeping up of majesty the running with harlots drunk or naked about the streets, or the performances of a stage player, or the open violation or contempt of laws passed by themselves than they can combine existence with non-existence'.

- Benedict de Spinoza. Political Treatise. 1677.




Thursday, September 09, 2010

on certainty 651


651. I cannot be making a mistake about 12 x 12 = 144. And now one cannot contrast mathematical certainty with the relative uncertainty of empirical propositions. For the mathematical proposition has been obtained by a series of actions that are in no way different from the actions of the rest of our lives, and are in the same degree liable to forgetfulness, oversight and illusion.



12 x 12 = 144 –

substituting one set of terms for another – does not amount to certainty

what we have here is a practise – a convention – a game

not a certainty

and yes –

‘the mathematical proposition has been obtained by a series of actions that are in no way different from the actions of the rest of our lives, and are in the same degree liable to forgetfulness, oversight and illusion.’ –

and this is to say –

the ground of any proposal – of any proposition –

is uncertainty


© greg t. charlton. 2010.