#Wise Quotes #Perfect Quotes #Doubt Quotes Of course, when the effective causes are too obscure, but the final causes are readily ascertained, the problem is commonly solved by the indirect method.”. there is absolutely no doubt that every affect in the universe can be explained satisfactorily from final causes, by the aid of the method of maxima and minima, as it can be from the effective causes themselves. “Since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear. #Expression Quotes #Numbers Quotes #Variables Quotes “Introduction to Analysis of the Infinite”, p.3, Springer Science & Business Media “A function of a variable quantity is an analytic expression composed in any way whatsoever of the variable quantity and numbers or constant quantities.”. #Education Quotes #Wise Quotes #Perfect Quotes

Source : 'A method for finding curved lines enjoying properties of maximum or minimum, or solution of isoperimetric problems in the broadest accepted sense'. “For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear.”. Source : 'Science in Russian Culture: A History to 1860'. “Madam, I have come from a country where people are hanged if they talk.”. #Discipline Quotes #Ignorant Quotes #Noble Quotes “In the meantime, most noble Sir, you have assigned this question to the geometry of position, but I am ignorant as to what this new discipline involves, and as to which types of problem Leibniz and Wolff expected to see expressed in this way.”. #Discovery Quotes #Bridges Quotes #Principles Quotes “Thus you see, most noble Sir, how this type of solution to the KÃ¶nigsberg bridge problem bears little relationship to mathematics, and I do not understand why you expect a mathematician to produce it, rather than anyone else, for the solution is based on reason alone, and its discovery does not depend on any mathematical principle.”. #Education Quotes #Opportunity Quotes #Errors Quotes Source : Opera Omnia, Series 1, Volume 2, 1913.

Indeed, we should use such a discovery as an opportunity to investigate more exactly the properties discovered and to prove or disprove them in both cases we may learn something useful.”. Therefore, we should take great care not to accept as true such properties of the numbers which we have discovered by observation and which are supported by induction alone. Yet we have seen cases in which mere induction led to error. “The kind of knowledge which is supported only by observations and is not yet proved must be carefully distinguished from the truth it is gained by induction, as we usually say.

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