Mathematics in the Modern World Flashcards
The science of reasoning
Logic
The drawing of interferences or conclusions from known or assumed facts
Reasoning
Refers to the process of making generalized decision after observing and/or witnessing, repeated specific instances of something.
Inductive
Specific to General
Inductive
Refers to the process of taking information gathered from general observations and making specific decisions based on that information.
Deductive
General to Specific
Deductive
A set of propositions arranged in a such way that one proposition is supposed to follow from another set of propositions.
Argument
Is the content expressed by a sentence that is capable of being true or false.
Proposition
Is the statement that is said to follow from a set of statements.
Conclusion
Are statements that are said to support the conclusion.
Premises
Argument Indicators
- Therefore
- Since
- Due to the fact
The part of mathematics concerned with the study of formal language, formal reasoning, the nature of mathematical proof etc…..
Mathematical Logic
gives the language and the rules upon which correct reasoning is based.
Logic
is an assertion which contains atleast one propositional variable
Propositional Form
A systemic way of presenting propositional forms.
Truth Table