

Used in mathematics and logic to denote something that is known or postulated before a proof has been carried out. Presupposed independent of experience the reverse of a posteriori. In philosophy, used to denote something known from experience. Used in mathematics and logic to denote something that is known after a proof has been carried out. "From possibility to actuality" or "from being possible to being actual".īased on observation, i. I.e., "completely," "from tip to toe," "from head to toe." Equally a capite ad calcem. I.e., "even more so" or "with even stronger reason." Often used to lead from a less certain proposition to a more evident corollary. Thus, an argumentum a contrario ("argument from the contrary") is an argument or proof by contrast or direct opposite. I.e., "on the contrary" or " au contraire". I.e., "from top to bottom," "all the way through," or "from head to toe." See also a pedibus usque ad caput. I.e., "from Heaven all the way to the center of the Earth." In law, it may refer to the proprietary principle of cuius est solum, eius est usque ad coelum et ad inferos ("whosesoever is the soil, it is his up to the sky and down to the depths "). I.e., "at will" or "at one's pleasure." This phrase, and its Italian ( beneplacito) and Spanish ( beneplácito) derivatives, are synonymous with the more common ad libitum (at pleasure).įrom general to particular "What holds for all X also holds for one particular X." – argumentum a fortioriĪn inference from smaller to bigger what is forbidden at least is forbidden at more ("If riding a bicycle with two on it is forbidden, riding it with three on it is at least similarly punished".)
