Classical mathematicians also accept assumption 2 and therefore reluctantly agree with Gödel that, contrary to Hilbert's expectation, there are true mathematical statements which are not provable.
They have questioned whether some such claims really are, as alleged, indubitable or necessarily true, and they have challenged the purported rational grounds of accepted assumptions.
But a new Tate Modern retrospective of Georgia O'Keeffe, a giant of American 20th-century modernism, is to challenge the "conservative male" – and widely accepted – assumptions that her famous flowers paintings are depictions of female genitalia.
All of this was reasonable enough if you accepted assumptions that were thought to be obvious in those days: when a political group screwed up, people didn't vote for it any longer.
Such refusals are catalyzed in a radical decision that is not entirely conscious an "act" (a notion borrowed from Lacan) that disturbs the "symbolic coordinates," or unconsciously accepted assumptions and norms, of everyday life.
Within the accepted assumptions, ε ex is less than the energy of unbound pair sk.
The validity of commonly accepted assumptions in the determination of the response of structures to blast loading is finally discussed.
When Aristotle calls these relationships "imperfect," he is tacitly relying on widely accepted assumptions about what makes a relationship satisfying.
It is also apparent that a number of widely accepted assumptions, such as those relating to presumed lice population distributions or the ability to pre-select highly infested cages, cannot be uncritically accepted.
Because philosophy calls commonly accepted assumptions into question, it is inherently subversive, opposed to all orthodoxy, and often troubling; but this is inseparable from what makes philosophy valuable, and indeed indispensable, as well as liberating.
Premise (2) follows from the definition of determinism (at least given two widely accepted assumptions: that there is causation in a deterministic universe and that causation is a transitive relation).
