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• 2-valued_morphism abstract "2-valued morphism is a term used in mathematics to describe a morphism that sends a Boolean algebra B onto a two-element Boolean algebra 2 = {0,1}. It is essentially the same thing as an ultrafilter on B.A 2-valued morphism can be interpreted as representing a particular state of B. All propositions of B which are mapped to 1 are considered true, all propositions mapped to 0 are considered false. Since this morphism conserves the Boolean operators (negation, conjunction, etc.), the set of true propositions will not be inconsistent but will correspond to a particular maximal conjunction of propositions, denoting the (atomic) state. The transition between two states s1 and s2 of B, represented by 2-valued morphisms, can then be represented by an automorphism f from B to B, such tuhat s2 o f = s1.The possible states of different objects defined in this way can be conceived as representing potential events. The set of events can then be structured in the same way as invariance of causal structure, or local-to-global causal connections or even formal properties of global causal connections.The morphisms between (non-trivial) objects could be viewed as representing causal connections leading from one event to another one. For example, the morphism f above leads form event s1 to event s2. The sequences or "paths" of morphisms for which there is no inverse morphism, could then be interpreted as defining horismotic or chronological precedence relations. These relations would then determine a temporal order, a topology, and possibly a metric.According to, "A minimal realization of such a relationally determined space-time structure can be found". In this model there are, however, no explicit distinctions. This is equivalent to a model where each object is characterized by only one distinction: (presence, absence) or (existence, non-existence) of an event. In this manner, "the 'arrows' or the 'structural language' can then be interpreted as morphisms which conserve this unique distinction".If more than one distinction is considered, however, the model becomes much more complex, and the interpretation of distinctional states as events, or morphisms as processes, is much less straightforward.".
• 2-valued_morphism wikiPageExternalLink Rep&Change.pdf.
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• 2-valued_morphism wikiPageRevisionID "626107757".
• 2-valued_morphism wikiPageWikiLink Automorphism.
• 2-valued_morphism wikiPageWikiLink Boolean_algebra_(structure).
• 2-valued_morphism wikiPageWikiLink Category:Boolean_algebra.
• 2-valued_morphism wikiPageWikiLink Horismotic.
• 2-valued_morphism wikiPageWikiLink Logical_conjunction.
• 2-valued_morphism wikiPageWikiLink Mathematics.
• 2-valued_morphism wikiPageWikiLink Metric_(mathematics).
• 2-valued_morphism wikiPageWikiLink Morphism.
• 2-valued_morphism wikiPageWikiLink Negation.
• 2-valued_morphism wikiPageWikiLink Proposition_(mathematics).
• 2-valued_morphism wikiPageWikiLink Sequence.
• 2-valued_morphism wikiPageWikiLink Theorem.
• 2-valued_morphism wikiPageWikiLink Topology.
• 2-valued_morphism wikiPageWikiLink Two-element_Boolean_algebra.
• 2-valued_morphism wikiPageWikiLink Ultrafilter.
• 2-valued_morphism wikiPageWikiLinkText "2-valued morphism".
• 2-valued_morphism hasPhotoCollection 2-valued_morphism.
• 2-valued_morphism wikiPageUsesTemplate Template:Reflist.
• 2-valued_morphism subject Category:Boolean_algebra.
• 2-valued_morphism hypernym Term.
• 2-valued_morphism type Article.
• 2-valued_morphism type Article.
• 2-valued_morphism comment "2-valued morphism is a term used in mathematics to describe a morphism that sends a Boolean algebra B onto a two-element Boolean algebra 2 = {0,1}. It is essentially the same thing as an ultrafilter on B.A 2-valued morphism can be interpreted as representing a particular state of B. All propositions of B which are mapped to 1 are considered true, all propositions mapped to 0 are considered false.".
• 2-valued_morphism label "2-valued morphism".
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• 2-valued_morphism sameAs Q4596975.
• 2-valued_morphism sameAs Q4596975.
• 2-valued_morphism wasDerivedFrom 2-valued_morphism?oldid=626107757.
• 2-valued_morphism isPrimaryTopicOf 2-valued_morphism.