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Metaphysical persistence refers to the philosophical study of how entities endure or continue to exist over time despite changes in their properties or relations. It explores theories like endurantism and perdurantism to address questions about identity and change in objects and persons.
Endurantism is a metaphysical theory that posits objects persist through time by being wholly present at each moment of their existence, rather than having different temporal parts at different times. This contrasts with perdurantism, which suggests objects are extended in time and consist of temporal parts, much like a movie is composed of individual frames.
Perdurantism is a philosophical theory about persistence and identity over time, suggesting that objects are extended in time and are composed of temporal parts, much like they are extended in space and composed of spatial parts. This contrasts with endurantism, which holds that objects are wholly present at every moment of their existence, leading to different implications for understanding change and identity through time.
The concept of temporal parts is a metaphysical theory suggesting that objects are extended through time in a way analogous to how they are extended through space, consisting of different 'parts' at different times. This view supports the idea of four-dimensionalism, where objects are seen as 'space-time worms' with temporal segments, challenging the traditional three-dimensional view of objects persisting wholly over time.
Identity over time explores how entities maintain or change their core characteristics despite undergoing transformations or existing across different temporal stages. This concept is crucial in understanding personal identity, continuity, and the metaphysical questions surrounding what it means for something to persist through time.
Four-Dimensionalism is a metaphysical perspective that posits objects are extended in time as well as in three spatial dimensions, treating them as 'space-time worms' with temporal parts. This view contrasts with three-dimensionalism, which sees objects as wholly present at any given moment in time without temporal extension.
Concept
Ontology is a branch of philosophy concerned with the study of being, existence, and the categorization of entities within a hierarchy, which is also applied in fields like computer science to structure information and knowledge representation. It involves the identification and formalization of the relationships between concepts, enabling clearer communication and understanding across various domains.
Concept
Continuity in mathematics refers to a function that does not have any abrupt changes in value, meaning it can be drawn without lifting the pencil from the paper. It is a fundamental concept in calculus and analysis, underpinning the behavior of functions and their limits, and is essential for understanding differentiability and integrability.
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