Thinking is most mysterious, and by far the greatest light upon it that we have is thrown by the study of language. This study shows that the forms of a person's thoughts are controlled by inexorable laws of pattern of which he is unconscious. These patterns are the unperceived intricate systematizations of his own language--shown readily enough by a candid comparison and contrast with other languages, especially those of a different linguistic family. His thinking itself is in a language-in English, in Sanskrit, in Chinese. And every language is a vast pattern-system, different from others, in which are culturally ordained the forms and categories by which the personality not only communicates, but also analyzes nature, notices or neglects types of relationship and phenomena, channels his reasoning, and builds the house of his consciousness.
Benjamin Lee WhorfRelated topics
candid contrast control different english enough family far house language light nature study thinking throw unconscious vast others Laws channelsRelated quotes
Although there is no study which presents so simple a beginning as that of geometry, there is none in which difficulties grow more rapidly as we proceed, and what may appear at first rather paradoxical, the more acute the student the more serious will the impediments in the way of his progress appear. This necessarily follows in a science which consists of reasoning from the very commencement, for it is evident that every student will feel a claim to have his objections answered, not by authority, but by argument, and that the intelligent student will perceive more readily than another the force of an objection and the obscurity arising from an unexplained difficulty, as the greater is the ordinary light the more will occasional darkness be felt. To remove some of these difficulties is the principal object of this Treatise.
Augustus De Morgan
Euclidean geometry can be easily visualized; this is the argument adduced for the unique position of Euclidean geometry in mathematics. It has been argued that mathematics is not only a science of implications but that it has to establish preference for one particular axiomatic system. Whereas physics bases this choice on observation and experimentation, i.e., on applicability to reality, mathematics bases it on visualization, the analogue to perception in a theoretical science. Accordingly, mathematicians may work with the non-Euclidean geometries, but in contrast to Euclidean geometry, which is said to be "intuitively understood," these systems consist of nothing but "logical relations" or "artificial manifolds". They belong to the field of analytic geometry, the study of manifolds and equations between variables, but not to geometry in the real sense which has a visual significance.
Hans Reichenbach
The division between those who try to learn about the world by manipulating it and those who can only observe it had led, in natural science, to a struggle for legitimacy. The experimentalists look down on the observers as merely telling uncheckable just-so stories, while the observers scorn the experimentalists for their cheap victories over excessively simple phenomena. In biology the two camps are now generally segregated in separate academic departments where they can go about their business unhassled by their unbelievers. But the battle is unequal because the observers' consciousness of what it is to do "real" science has been formed in a world dominated by the manipulators of nature. The observers then pretend to an exactness that they cannot achieve and they attempt to objectify a part of nature that is completely accessible only with the air of subjective tools.
Richard Lewontin
In my tender years and bairn-age, at schools, having on the one part contracted a loving familiaritie with a certain gentleman a papist, and on the other part being attentive to the sermons of that worthy man of God, Maister Christopher Goodman, teaching upon the Apocalyps, I was moved in admiration against the blindness of papists that could not most evidentlie see their seven hilled Citie of Rome, painted out there so lively by Saint John, as the Mother of all Spiritual Whoredome: that not onlie bursted I oute in continuall reasoning against my said familiar, but also from thence forth I determined with myself by the assistance of God's spirit to employ my study and diligence to search out the remanent mysteries of that holy booke (as to this houre praised be the Lord I have bin doing at all such times as convenientlie I might have occasion) &c.
John Napier
For what advantage is it, that the world enjoys profound peace, if thou art at war with thyself? This then is the peace we should keep. If we have it, nothing from without will be able to harm us. And to this end the public peace contributes no little: whence it is said, ‘That we may lead a quiet and peaceable life.' But if any one is disturbed when there is quiet, he is a miserable creature. Seest thou that He speaks of this peace which I call the third (inner, ed.) kind? Therefore when he has said, ‘that we may lead a quiet and peaceable life,' he does not stop there, but adds ‘in all godliness and honesty.' But we cannot live in godliness and honesty, unless that peace be established. For when curious reasonings disturb our faith, what peace is there? or when spirits of uncleanness, what peace is there?
John Chrysostom