Can
What can be true or can be done varies with the meaning of "can." As far as philosophy is concerned, the important senses of this word ("could," past indicative) fall into five major groups. For convenience these groups, most of which are distinguished in Webster's Third New International Dictionary, may be singled out as the "can" of ability, of right, of inclination or probability, of opportunity, and of possibility.
"Can" of Ability
The "can" of ability has at least three subsenses: (1) to have the skill—"He can speak five languages or paint lifelike portraits"; (2) to have the requisite mental or physical power—"He can solve difficult problems, invent remarkable machines, or foretell the future" or "He can swim a mile or do one hundred push-ups"; (3) to have the requisite strength of character—"He can resist anything but pleasure, pass up a free drink, or bear criticism of his books."
"Can" of Right
The "can" of right, which is often used interchangeably with "may," has at least four subsenses: (1) logically or axiologically can—"Equivalent formulas can be interchanged, salva veritate, in any extensional context" or "From this we can reasonably infer …"; (2) can in virtue of custom, agreement, law, and so on—"One can be prosecuted for saying that" or "An ambulance can disregard traffic lights"; (3) permission-giving "can"—"You can borrow my car if you'd like"; (4) be permitted by conscience or feeling—"I can condone no willful act of destruction" or "I can accept electrocution but not hanging."
"Can" of Inclination or Probability
Examples of the "can" of inclination or probability are "I was so angry that I could have killed him" and "That car could hardly have made a trip across the desert."
"Can" of Opportunity
"He could have played chess had he known how," "Come in here where we can talk," and "The traffic was so heavy that I could not cross" illustrate the "can" of opportunity.
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