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  2. Indistinguishable particles - Wikipedia

    en.wikipedia.org/wiki/Indistinguishable_particles

    There are two methods for distinguishing between particles. The first method relies on differences in the intrinsic physical properties of the particles, such as mass, electric charge, and spin. If differences exist, it is possible to distinguish between the particles by measuring the relevant properties. However, it is an empirical fact that ...

  3. Law of identity - Wikipedia

    en.wikipedia.org/wiki/Law_of_identity

    Identity is a relation on individuals. It is not a relation between propositions, and is not concerned with the meaning of propositions, nor with equivocation. The law of identity can be expressed as , where x is a variable ranging over the domain of all individuals. In logic, there are various different ways identity can be handled.

  4. Pauli exclusion principle - Wikipedia

    en.wikipedia.org/wiki/Pauli_exclusion_principle

    In quantum mechanics, the Pauli exclusion principle states that two or more identical particles with half-integer spins (i.e. fermions) cannot simultaneously occupy the same quantum state within a system that obeys the laws of quantum mechanics. This principle was formulated by Austrian physicist Wolfgang Pauli in 1925 for electrons, and later ...

  5. Fermi–Dirac statistics - Wikipedia

    en.wikipedia.org/wiki/Fermi–Dirac_statistics

    Models. Potentials. Scientists. v. t. e. Fermi–Dirac statistics is a type of quantum statistics that applies to the physics of a system consisting of many non-interacting, identical particles that obey the Pauli exclusion principle. A result is the Fermi–Dirac distribution of particles over energy states. It is named after Enrico Fermi and ...

  6. Identity (philosophy) - Wikipedia

    en.wikipedia.org/wiki/Identity_(philosophy)

    The philosophical concept concerns a relation, specifically, a relation that x and y stand in if, and only if they are one and the same thing, or identical to each other (i.e. if, and only if x = y ). The sociological notion of identity, by contrast, has to do with a person's self-conception, social presentation, and more generally, the aspects ...

  7. Identity of indiscernibles - Wikipedia

    en.wikipedia.org/wiki/Identity_of_indiscernibles

    Identity of indiscernibles. The identity of indiscernibles is an ontological principle that states that there cannot be separate objects or entities that have all their properties in common. That is, entities x and y are identical if every predicate possessed by x is also possessed by y and vice versa. It states that no two distinct things ...

  8. Equivalence principle - Wikipedia

    en.wikipedia.org/wiki/Equivalence_principle

    e. The equivalence principle is the hypothesis that the observed equivalence of gravitational and inertial mass is a consequence of nature. The weak form, known for centuries, relates to masses of any composition in free fall taking the same trajectories and landing at identical times. The extended form by Albert Einstein requires special ...

  9. Metaphysics - Wikipedia

    en.wikipedia.org/wiki/Metaphysics

    The principle of the indiscernibility of identicals is widely accepted and holds that numerically identical entities exactly resemble one another. The converse principle, known as identity of indiscernibles or Leibniz's Law, is more controversial and states that two entities are numerically identical if they exactly resemble one another.

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