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Mathematical logic. Philosophy of logic. Category. v. t. e. The material conditional (also known as material implication) is an operation commonly used in logic. When the conditional symbol is interpreted as material implication, a formula is true unless is true and is false.
In propositional logic, material implication[ 1][ 2] is a valid rule of replacement that allows a conditional statement to be replaced by a disjunction in which the antecedent is negated. The rule states that P implies Q is logically equivalent to not- or and that either form can replace the other in logical proofs.
In logic and philosophy of logic, a rule of inference, inference rule or transformation rule is a logical form consisting of a function which takes premises, analyzes their syntax, and returns a conclusion (or conclusions ). For example, the rule of inference called modus ponens takes two premises, one in the form "If p then q" and another in ...
Logical reasoning is concerned with the correctness of arguments. A key distinction is between deductive and non-deductive arguments. Logical reasoning is a mental activity that aims to arrive at a conclusion in a rigorous way. It happens in the form of inferences or arguments by starting from a set of premises and reasoning to a conclusion ...
In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used to conjoin two statements and to form the statement " if and only if " (often abbreviated as " iff " [ 1] ), where is known as the antecedent, and the consequent. [ 2][ 3 ...
Logic plays a central role in many fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises together with a conclusion. An example is the argument from the premises "it's Sunday" and "if it's Sunday then I don't have to work" to the conclusion "I don't have to work". [1]
Materialise Mimics. Materialise Mimics is an image processing software for 3D design and modeling, developed by Materialise NV, [ 1] a Belgian company specialized in additive manufacturing software and technology for medical, dental and additive manufacturing industries. Materialise Mimics is used to create 3D surface models from stacks of 2D ...
Backed by a16z, the 9-year-old startup helped consumers manage and pay off their credit card debt through a lower interest loan, until it pivoted to a B2B model with a partnership that later ...