Mental Models XXXIII

"[W]hatsoever the Philosopher saith should be done, [the poet] gives a perfect picture of it by some one, by who he presupposeth it was done, so as he coupleth the generall notion with the particuler example. A perfect picture I say, for hee yeeldeth to the powers of the minde an image of that whereof the Philosopher bestoweth but a wordish description, which doth neither strike, pearce, nor possesse the sight of the soule so much, as that other doth." (Sir Philip Sidney, "Defence of Poesie", 1595) 

"Men always fool themselves when they give up experience for systems born of the imagination. Man is the work of nature, he exists in nature, he is subject to its laws, he can not break free, he can not leave even in thought; it is in vain that his spirit wants to soar beyond the bounds of the visible world, he is always forced to return." (Paul-Henri T d’ Holbach, "Système de la Nature", 1770)

"Mathematics makes constant demands upon the imagination, calls for picturing in space (of one, two, three dimensions), and no considerable success can be attained without a growing ability to imagine all the various possibilities of a given case, and to make them defile before the mind's eye." (Jacob W A Young, "The Teaching of Mathematics", 1907)

"The image serves neither as illustration nor as support for thought. It is in no way different from thought […] What we ordinarily designate as thinking is a consciousness which affirms this or that of its objects but without realizing the qualities on [sic] the object. The image, on the contrary, is a consciousness that aims to produce its object: it is therefore constituted by a certain way of judgment and feeling of which, we do not become conscious as such but which we apprehend on the intentional object as this or that of its qualities. In a word: the function of the image is symbolic." (Jean-Paul Sartre, "The Psychology of Imagination", 1940)

"A mental model is a data structure, in a computational system, that represents a part of the real world or of a fictitious world. It is assumed that there can be mental models of abstract realms, such as that of mathematics, but little more will be said about them. A model-theoretic semanticist is free to think of the entities in his model as actual items in the world.[...] Mental model is an appropriate term for the mental representations that underlie everyday reasoning about the world. To understand the everyday world is to have a theory of how it works." (Alan Granham, "Mental Models as Representations of Discourse and Text", 1987)

"Each of us has many, many maps in our head, which can be divided into two main categories: maps of the way things are, or realities, and maps of the way things should be, or values. We interpret everything we experience through these mental maps. We seldom question their accuracy; we're usually even unaware that we have them. We simply assume that the way we see things is the way they really are or the way they should be."  (Stephen Covey, "The 7 Habits of Highly Effective People", 1989)

"The ‘objective reality’, or the territory itself, is composed of ‘lighthouse’ principles that govern human growth and happiness - natural laws that are woven into the fabric of every civilized society throughout history and comprise the roots of every family and institution that has endured and prospered. The degree to which our mental maps accurately describe the territory does not alter its existence." (Stephen Covey, "The 7 Habits of Highly Effective People", 1989)

"Images are defined to be information structures, with different kind of images representing different kind of information about what the actor is doing, why and how, and what kind of progress is being made." (Terence R Mitchell & Lee R Beach, "Organizational behavior and human decision processes", 1990)

"A mental representation is a mental structure that corresponds to an object, an idea, a collection of information, or anything else, concrete or abstract, that the brain is thinking about. […] Because the details of mental representations can differ dramatically from field to field, it’s hard to offer an overarching definition that is not too vague, but in essence these representations are preexisting patterns of information - facts, images, rules, relationships, and so on - that are held in long-term memory and that can be used to respond quickly and effectively in certain types of situations." (Anders Ericsson & Robert Pool," Peak: Secrets from  the  New  Science  of  Expertise", 2016)

"So everyone has and uses mental representations. What sets expert performers apart from everyone else is the quality and quantity of their mental representations. Through years of practice, they develop highly complex and sophisticated representations of the various situations they are likely to encounter in their fields - such as the vast number of arrangements of chess pieces that can appear during games. These representations allow them to make faster, more accurate decisions and respond more quickly and effectively in a given situation. This, more than anything else, explains the difference in performance between novices and experts." (Anders Ericsson & Robert Pool," "Peak: Secrets from  the  New  Science  of  Expertise" , 2016)