@goapy,
goapy;71792 wrote:If 'knowing that p' isn't probabilistic, then there shouldn't be a possibility of being mistaken - even if p is a contingent proposition. To say:
I know that p
and
Both p and possible ~p
is to conflate the indicative of 'knowing that...' with the counterfactual of the contingent proposition p.
If "know" means it is in fact true, it cannot turn out later to be false. If to know something is to believe something to be true that is in fact true, then to possess knowledge is to possess the truth. The indicative of p - not how p might have been.
In the quantum world logic breaks down and nothing is certain.Heisenberg Uncertainty principle.
If we only perceive a tiny aspect of reality and at the quantum level everything is uncertain, how can we ever difine absolute truth?
The Uncertainty Principle
First published Mon Oct 8, 2001; substantive revision Mon Jul 3, 2006
Quantum mechanics is generally regarded as the physical theory that is our best candidate for a fundamental and universal description of the physical world. The conceptual framework employed by this theory differs drastically from that of classical physics. Indeed, the transition from classical to quantum physics marks a genuine revolution in our understanding of the physical world.
One striking aspect of the difference between classical and quantum physics is that whereas classical mechanics presupposes that exact simultaneous values can be assigned to all physical quantities, quantum mechanics denies this possibility, the prime example being the position and momentum of a particle.
According to quantum mechanics, the more precisely the position (momentum) of a particle is given, the less precisely can one say what its momentum (position) is. This is (a simplistic and preliminary formulation of) the quantum mechanical uncertainty principle for position and momentum. The uncertainty principle played an important role in many discussions on the philosophical implications of quantum mechanics, in particular in discussions on the consistency of the so-called Copenhagen interpretation, the interpretation endorsed by the founding fathers Heisenberg and Bohr.
This should not suggest that the uncertainty principle is the only aspect of the conceptual difference between classical and quantum physics: the implications of quantum mechanics for notions as (non)-locality, entanglement and identity play no less havoc with classical intuitions.