Bryon, IMO both of your posts are characteristically outstanding, and I am in complete agreement with both of them.
Mr. T, you are equating knowledge with absolute certainty. There is very little that is absolutely certain in this world, not even the characteristics of the isosceles triangle you mentioned. Consider the implications of Relativity Theory with respect to the lengths of its sides ("objects are measured to be shortened in the direction that they are moving with respect to the observer," quoting from the reference).
To be reliable, meaning to have a high DEGREE of reliability, knowledge requires a high DEGREE of certainty, not absolute certainty. That can be, and very commonly is, established by empirical means. The contention that "knowledge is analytic a priori" is simply wrong.
Regards,
-- Al
Mr. T, you are equating knowledge with absolute certainty. There is very little that is absolutely certain in this world, not even the characteristics of the isosceles triangle you mentioned. Consider the implications of Relativity Theory with respect to the lengths of its sides ("objects are measured to be shortened in the direction that they are moving with respect to the observer," quoting from the reference).
To be reliable, meaning to have a high DEGREE of reliability, knowledge requires a high DEGREE of certainty, not absolute certainty. That can be, and very commonly is, established by empirical means. The contention that "knowledge is analytic a priori" is simply wrong.
Regards,
-- Al