Ideas are useless unless used. The proof of their value is in their implementation. Until then, they are in limbo.
Failure isn't something to be embarrassed about; it's just proof that you're pushing your limits, trying new things, daring to innovate.
It seemed to me that all things were possible on the island, all tyrannies and cruelties, though in small; and if, in despite of what was possible, we lived at peace with another, surely this was proof that certain laws unknown to us held sway, or else that we had been following the promptings of our hearts all this time, and our hearts had not betrayed us.
And your doubt can become a good quality if you train it. It must become knowing, it must become criticism. Ask it, whenever it wants to spoil something for you, why something is ugly, demand proofs from it, test it, and you will find it perhaps bewildered and embarrassed, perhaps also protesting. But don't give in, insist on arguments, and act in this way, attentive and persistent, every single time, and the day will come when, instead of being a destroyer, it will become one of your best workers-perhaps the most intelligent of all the ones that are building your life.
We can approach belief from an intellectual path, but in the end, God must be taken on faith. Proofs are for things of this world, things in time and of time, not beyond time.
I know nothing grander, better exercise, better digestion, more positive proof of the past, the triumphant result of faith in human kind, than a well-contested American national election.
Men point to the sad incidents of human life on earth, and they ask "Where is the love of God?" God points to that Cross as the unreserved manifestation of love so inconceivably infinite as to answer every challenge and silence all doubt for ever. And that Cross is not merely the public proof of what God has accomplished; it is the earnest of all that He has promised.
Paul Erdos has a theory that God has a book containing all the theorems of mathematics with their absolutely most beautiful proofs, and when he wants to express particular appreciation of a proof he exclaims, "This is from the book!"
Glory is for none but the learned, Guided are they - and proofs for seekers of guidance. Every person is measured based on how much of it (knowledge) he mastered, The ignorant are to the learned their enemies, Succeed with knowledge and live energetically forever, Men are all dead, only the possessors of knowledge are truly alive
For those fed up with the lack of mystery at the top of the Premiership, could I refer you to the commanding heights of the Conference. The wide points gap between first and second says we are about to witness the return to the football league of Accrington Stanley. So legendary have they become that everyone across the generations knows them, yet even those of the certain age required (you'd be pushing 60) can scarcely believe they were ever there. What proof do we have that this most Garcia Marquez of football teams was, is and yet may truly be?
Reincarnation is not an exclusively Hindu or Buddhist concept, but it is part of the history of human origin. It is proof of the mindstream's capacity to retain knowledge of physical and mental activities. It is related to the theory of interdependent origination and to the law of cause and effect.
In one of our concert grand pianos, 243 taut strings exert a pull of 40,000 pounds on an iron frame. It is proof that out of great tension may come great harmony.
Love need not speak volumes. It need not demand proof. It never has a happy ending - simply because it doesn't end as long as love is pure and true.
Leave it up to me while I be livin' proof, To kick the truth to the young black youth.
I see no reason why Indians who can give satisfactory proof of having by their own labor supported their families for a number of years, and who are willing to detach themselves from their tribal relations, should not be admitted to the benefit of the homestead act and the privileges of citizenship, and I recommend the passage of a law to that effect. It will be an act of justice as well as a measure of encouragement.
I desire no other proof of Christianity than the Lord's Prayer.
Government ought to be as much open to improvement as anything which appertains to man, instead of which it has been monopolized from age to age, by the most ignorant and vicious of the human race. Need we any other proof of their wretched management, than the excess of debts and taxes with which every nation groans, and the quarrels into which they have precipitated the world?"
With respect to the words "general welfare," I have always regarded them as qualified by the detail of powers connected with them. To take them in a literal and unlimited sense would be a metamorphosis of the Constitution into a character which there is a host of proofs was not contemplated by its creators.
Simplification of modes of proof is not merely an indication of advance in our knowledge of a subject, but is also the surest guarantee of readiness for farther progress.
The most convincing proof of the conversion of heat into living force [vis viva] has been derived from my experiments with the electro-magnetic engine, a machine composed of magnets and bars of iron set in motion by an electrical battery. I have proved by actual experiment that, in exact proportion to the force with which this machine works, heat is abstracted from the electrical battery. You see, therefore, that living force may be converted into heat, and that heat may be converted into living force, or its equivalent attraction through space.
In point of fact, no conclusive disproof of a theory can ever be produced; for it is always possible to say that the experimental results are not reliable or that the discrepancies which are asserted to exist between the experimental results and the theory are only apparent and that they will disappear with the advance of our understanding. If you insist on strict proof (or strict disproof) in the empirical sciences, you will never benefit from experience, and never learn from it how wrong you are.
It is the facts that matter, not the proofs. Physics can progress without the proofs, but we can't go on without the facts ... if the facts are right, then the proofs are a matter of playing around with the algebra correctly.
If the proof starts from axioms, distinguishes several cases, and takes thirteen lines in the text book ... it may give the youngsters the impression that mathematics consists in proving the most obvious things in the least obvious way.
The proof given by Wright, that non-adaptive differentiation will occur in small populations owing to "drift," or the chance fixation of some new mutation or recombination, is one of the most important results of mathematical analysis applied to the facts of neo-mendelism. It gives accident as well as adaptation a place in evolution, and at one stroke explains many facts which puzzled earlier selectionists, notably the much greater degree of divergence shown by island than mainland forms, by forms in isolated lakes than in continuous river-systems.
A short letter to a distant friend is, in my opinion, an insult like that of a slight bow or cursory salutation - a proof of unwillingness to do much, even where there is a necessity of doing something.
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