In summary: The interplay of meaning and axiomatic machine mathematics, captured by the difference between $\models$ and $\vdash$, is a subtle and interesting thing.
What is the meaning of the $c$ in $C_c^ {\infty} (\mathbb {R})$?
SCRUPLES definition: the plural of scruple; moral or ethical considerations or standards that act as a restraining force or inhibit certain actions. See examples of scruples used in a sentence.
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Most often, they wear each other down: moral principle versus law, professional standards versus religious scruples, and legal restrictions versus medical judgment.
Scruples are moral principles or beliefs that make you unwilling to do something that seems wrong. ...a man with no moral scruples.
Definition of scruple noun from the Oxford Advanced Learner's Dictionary. a feeling that prevents you from doing something that you think may be morally wrong. I overcame my moral scruples. He had no scruples about spying on her. She is totally without scruple.
Define scruples. scruples synonyms, scruples pronunciation, scruples translation, English dictionary definition of scruples. n. 1. An uneasy feeling arising from conscience or principle that tends to hinder action: "He would have taken any life with as little scruple as he took my...
scruple (third-person singular simple present scruples, present participle scrupling, simple past and past participle scrupled) (intransitive) To hesitate or be reluctant to act due to considerations of conscience or expedience.