Two very useful Latin phrases

This is from Wikipedia and there are many  more.These are used in maths,logic and philosophy.

tiff infomation
tiff infomation

 

a posteriori from the latter Based on observation (i.e., empirical evidence), the reverse of a priori. Used in mathematics and logic to denote something that is known after a proof has been carried out. In philosophy, used to denote something known from experience.
a priori from the former Presupposed independent of experience, the reverse of a posteriori. Used in mathematics and logic to denote something that is known or postulated before a proof has been carried out. In philosophy, used to denote something is supposed without empirical evidence. In everyday speech, it denotes something occurring or being known before the event