Compossibility is a
philosophical
Philosophy (from , ) is the systematized study of general and fundamental questions, such as those about existence, reason, knowledge, values, mind, and language. Such questions are often posed as problems to be studied or resolved. Some ...
concept from
Gottfried Wilhelm Leibniz
Gottfried Wilhelm (von) Leibniz . ( – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat. He is one of the most prominent figures in both the history of philosophy and the history of math ...
. According to Leibniz, a complete individual thing (for example a person) is characterized by all its properties, and these determine its relations with other individuals. The existence of one individual may negate the possibility of the existence of another. A possible world is made up of individuals that are compossible—that is, individuals that can exist together.
Composability and possible worlds
Leibniz indicates that a world is a set of compossible things, however, that a world is a kind of collection of things that God could bring into existence. For not even God can bring into existence a world in which there is some contradiction among its members or their properties.
When Leibniz speaks of a possible world, he means a set of compossible, finite things that God could have brought into existence if he were not constrained by the goodness that is part of his nature. The actual world, on the other hand, is simply that set of finite things that is instantiated by God, because it is greatest in goodness, reality and perfection. Naturally, the fact that we are here experiencing this world—the actual world—means that there is at least one possible world. In Leibniz's view, there are an infinite number of possible worlds.
Relevant works and influence
Views on "compossibility" and the closely related
best of all possible worlds
The phrase "the best of all possible worlds" (french: Le meilleur des mondes possibles; german: Die beste aller möglichen Welten) was coined by the German polymath and Enlightenment philosopher Gottfried Leibniz in his 1710 work ''Essais de Th ...
argument are to be found in ''On the Ultimate Origination of Things'', ''The Discourse in Metaphysics'', ''On Freedom'', and throughout his works.
The term itself is found in ''The Philosophical Writings III''
'Die philosophischen Schriften III''when Leibniz writes to
Louis Bourguet.
Alain Badiou
Alain Badiou (; ; born 17 January 1937) is a French philosopher, formerly chair of Philosophy at the École normale supérieure (ENS) and founder of the faculty of Philosophy of the Université de Paris VIII with Gilles Deleuze, Michel Fouca ...
borrows this concept in
defining philosophy as the creation of a "space of compossibility" for heterogeneous
truth
Truth is the property of being in accord with fact or reality.Merriam-Webster's Online Dictionarytruth 2005 In everyday language, truth is typically ascribed to things that aim to represent reality or otherwise correspond to it, such as belie ...
s.
Gilles Deleuze uses it in ''Cinema II'' taking support from Leibniz's explanation of the
problem of future contingents
Future contingent propositions (or simply, future contingents) are statements about states of affairs in the future that are '' contingent:'' neither necessarily true nor necessarily false.
The problem of future contingents seems to have been fi ...
.
See also
*
David Lewis's ''
On the Plurality of Worlds
''On the Plurality of Worlds'' (1986) is a book by the philosopher David Lewis that defends the thesis of modal realism. "The thesis states that the world we are part of is but one of a plurality of worlds," as he writes in the preface, "an ...
'' (1986)
*
Many-worlds interpretation
The many-worlds interpretation (MWI) is an interpretation of quantum mechanics that asserts that the universal wavefunction is objectively real, and that there is no wave function collapse. This implies that all possible outcomes of quantum ...
of
quantum mechanics
Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistr ...
References
Concepts in metaphysics
Gottfried Wilhelm Leibniz
Philosophical logic
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