43. What sort of proposition is this: “We cannot have miscalculated in 12 x 12 =
144”? It must surely be a proposition of logic.
–But now, is it not the same, or doesn’t it
come to the same, as the statement 12 x 12 = 144’
the claim – ‘we cannot have miscalculated
in …’
is a rhetorical claim –
as is the follow up statement here –
‘it must surely be a proposition of logic’
12 x 12 = 144 –
is a game proposition –
if you follow the instruction that is 12 x
12 = 144 –
you play the game –
the game of sign substitution –
and presumably you do so –
because you have a use for it
and if you actually play the game –
you
play it as it as directed –
you play
– without question
the concepts behind the proposition –
behind the game –
have
been developed –
in a context of argument and dispute
the ground of any mathematical proposition
–
is uncertainty
© greg t. charlton. 2009.
