The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo, where I call it the Absolute Infinite or simply Absolute; second when it occurs in the contingent, created world; third when the mind grasps it in abstracto as a mathematical magnitude, number or order type.
Georg CantorRelated topics
call contingent form magnitude mind number order second third threeRelated quotes
The sciences we are familiar with have been installed in a number of great 'continents'. Before Marx, two such continents had been opened up to scientific knowledge: the continent of Mathematics and the continent of Physics. The first by the Greeks (Thales), the second by Galileo. Marx opened up a third continent to scientific knowledge: the continent of History.
Louis Althusser
Love is a momentary upwelling of three tightly interwoven events: First, a sharing of one or more positive emotions between you and another; second, a synchrony between your and the other person's biochemistry and behaviors; and third, a reflected motive to invest in each other's well-being that brings mutual care.
Barbara Fredrickson
It is clear that the building of models is not a purely mechanical process but requires skill of a high order – not merely mathematical skill but a sensitivity to the relative importance of different factors and a critical, almost an artistic, faculty in the selection of behaviour equations which are reasonable, tentative hypotheses in explaining the behaviour of actual economies.
Kenneth Boulding
Rules emerge as a spontaneous order–they are found–not deliberately designed by one calculating mind. Initially constructivist institutions undergo evolutionary change adapting beyond the circumstances that gave them birth. What emerges is a form of "social mind” that solves complex organization problems without conscious cognition.
Vernon L. Smith
What seems certain is that Pythagoras developed the idea of mathematical logic... He realized that numbers exist independently of the tangible world and therefore their study was untainted by inaccuracies of perception. This meant he could discover truths which were independent of opinion of prejudice and which were more absolute then any previous knowledge.
Simon Singh