Constructive Logic
Constructive logic emphasizes explicit proofs of existence, demanding a concrete construction rather than indirect reasoning. It's a foundational approach in mathematical and computational logic.
Constructive Dilemma
A logical argument form where two conditional statements and the disjunction of their antecedents lead to the disjunction of their consequents. It's a fundamental rule of inference.
Constant Function
A constant function is a mathematical function that yields the same output value for every input value. It's a fundamental concept in mathematics and programming, representing a fixed output irrespective…
Constants in Logic and Mathematics
A constant represents a fixed, unchanging value in logic and mathematics. It's a fundamental building block, ensuring consistency and allowing for precise statements and calculations across various fields.
Conservative Extension in Logic and Mathematics
A conservative extension adds new axioms or rules to a theory without altering the truth of existing statements. This ensures consistency and predictability when expanding logical systems.
Consequentia Mirabilis: The Principle of Indirect Proof
Consequentia mirabilis, a classical logic principle, asserts that if the negation of a statement leads to a contradiction, the original statement must be true. It's a cornerstone of indirect reasoning…
Understanding the Consequent in Conditional Statements
The consequent is the result or outcome of a conditional statement. It's the part that follows the 'then,' detailing what happens if the 'if' condition (antecedent) is true.
Consequence Relation: Understanding Logical Necessity
A consequence relation links sets of statements. If the premises are true, the consequences must also be true, establishing a relationship of logical necessity.
Connexive Logic
Connexive logic explores the principles of connection between propositions, focusing on relationships like a statement and its contrapositive. It aims to capture logical consequence more intuitively.
Graph Connectivity
Connectivity in graphs means a path exists between any two vertices. In topological spaces, it means the space cannot be split into two separate open sets. It's a fundamental concept…