Logic vs. Sentiment — What's the Difference?

Logic (from Greek: λογική, logikḗ, 'possessed of reason, intellectual, dialectical, argumentative') is the systematic study of valid rules of inference, i.e. the relations that lead to the acceptance of one proposition (the conclusion) on the basis of a set of other propositions (premises).

A thought, view, or attitude, especially one based mainly on emotion instead of reason

The study of principles of reasoning, especially of the structure of propositions as distinguished from their content, and of method and validity in deductive reasoning.

Emotion; feeling

A system of reasoning

Tender or romantic feeling

A mode of reasoning

Maudlin emotion; sentimentality

The formal, guiding principles of a discipline, school, or science.

The thought or emotion that underlies a remark or gesture

Valid reasoning

The expression of delicate and sensitive feeling, especially in art and literature.

The relationship between elements and between an element and the whole in a set of objects, individuals, principles, or events

A general thought, feeling, or sense.

The nonarithmetic operations performed by a computer, such as sorting, comparing, and matching, that involve yes-no decisions.

(uncountable) Feelings, especially tender feelings, as apart from reason or judgment, or of a weak or foolish kind.

Computer circuitry.

A thought prompted by passion or feeling; a state of mind in view of some subject; feeling toward or respecting some person or thing; disposition prompting to action or expression.

Graphic representation of computer circuitry.

Hence, generally, a decision of the mind formed by deliberation or reasoning; thought; opinion; notion; judgment; as, to express one's sentiments on a subject.

Logical

A sentence, or passage, considered as the expression of a thought; a maxim; a saying; a toast.

(uncountable) A method of human thought that involves thinking in a linear, step-by-step manner about how a problem can be solved. Logic is the basis of many principles including the scientific method.

Sensibility; feeling; tender susceptibility.

The study of the principles and criteria of valid inference and demonstration.

Tender, romantic, or nostalgic feeling or emotion

The mathematical study of relationships between rigorously defined concepts and of mathematical proof of statements.

A personal belief or judgment that is not founded on proof or certainty;

A formal or informal language together with a deductive system or a model-theoretic semantics.

(uncountable) Any system of thought, whether rigorous and productive or not, especially one associated with a particular person.

(uncountable) The part of a system (usually electronic) that performs the boolean logic operations, short for logic gates or logic circuit.

To engage in excessive or inappropriate application of logic.

(transitive) To apply logical reasoning to.

(transitive) To overcome by logical argument.

The science or art of exact reasoning, or of pure and formal thought, or of the laws according to which the processes of pure thinking should be conducted; the science of the formation and application of general notions; the science of generalization, judgment, classification, reasoning, and systematic arrangement; the science of correct reasoning.

A treatise on logic; as, Mill's Logic.

Correct reasoning; as, I can't see any logic in his argument; also, sound judgment; as, the logic of surrender was uncontestable.

The path of reasoning used in any specific argument; as, his logic was irrefutable.

A function of an electrical circuit (called a gate) that mimics certain elementary binary logical operations on electrical signals, such as AND, OR, or NOT; as, a logic circuit; the arithmetic and logic unit.

The branch of philosophy that analyzes inference

Reasoned and reasonable judgment;

The principles that guide reasoning within a given field or situation;

A system of reasoning