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The need for PROOF.
Hypothesis, is a thoery without proof. 'Hypo' Classical Greek for 'Under/ Less than' & 'thesis' a thoery .
A Theory has a PROOF , that it is universally accepted by one's peers.
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ViviHypotheses are statements which may or may not be true. If there is overwhelming support for such a set, it becomes a theory. In science a theory can be disproved but it can never be proven: you can only add to the weight of evidence in its support.
Mathematics is somewhat different. Although Kurt Godel proved that any non-trivial axiomatic system must contain statements whose truth or falsehood cannot be proven from within the system, most statements can be proven to be true or false. A set of hypotheses becomes a theory if every statement in it can be shown to be true, starting from the system's axioms and using any theorems already proven to be true.
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What is a sub hypothesis?
relevant to a hypothesis, either positively or negatively. 2.2 Hypotheses and Sub-hypotheses Hypotheses are questions or conjectures of interest to an observer. Hypotheses may involve alternative possible explanations, possible answers, or alternative estimates. Hypotheses may have substructure. It is sometimes possible to partition a high-level hypothesis into a set of sub-hypotheses. The substructure decomposition is always a hierarchical tree. The hierarchy may be several levels deep before bottoming out in questions that can be directly assessed and answered by evidence.
What compact set in set theory?
define compact set?
What is set theory?
In mathematics, sets are simply collections of objects. Set theory is the branch of mathematics that studies these collections of objects. For more information, please refer to the related link below.
What is bijection?
A bijection is a one-to-one correspondence in set theory - a function which is both a surjection and an injection.
What is cut set matrix in graph theory?
Cut Set matrix provides a compact and effecive means of writing algebriac equations giving branch voltages in terms of tree branches.
