masthead itemmasthead itemmasthead itemmasthead itemmasthead itemmasthead itemmasthead item

Diploma Programme

Theory of knowledge—guide

TOK questions

Areas of knowledge

The areas of knowledge, which are situated within the perimeter of the TOK diagram (figure 1), are subject areas or disciplines into which knowledge is frequently classified. They may be seen as an application of ways of knowing, perhaps shaped by methodology, to particular subject matter. The questions that follow in this section deal with both the rationale for such classification and the interdisciplinary comparisons that clarify or challenge the division of knowledge into areas. Reference to the following linking questions may also be useful.

The students’ own experience as knowers would ideally base many of the questions on their studies in the Diploma Programme. Teachers may find it necessary to supplement the students’ educational experience with additional concepts, but they should be guided always by the aim of stimulating students’ personal reflection on knowledge. The question “How do I know?”, which is implied in the “Ways of knowing” section, interacts in this section with another question, “What do I know?”, or, more specifically, “How do I know that a given assertion is true, or a given judgment is well grounded?”

Mathematics

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.

Bertrand Russell (1917)

From a TOK point of view mathematics is a rather special area of knowledge. On the one hand it seems to supply a certainty often missing in other disciplines. On the other, its methods—for example, the application of strict logical procedures to supposedly self-evident first principles—suggest a subject matter that is removed from the real world. It is hardly surprising then to find a variety of responses to mathematical knowledge, from astonishment at the beauty of some mathematical argument, to wonder at the power of mathematics to solve problems in the sciences or engineering, to frustration in the face of apparently meaningless symbols manipulated as part of a pointless game.

What is unarguable is the ability of mathematics to yield important knowledge about the world, often in conjunction with other areas of knowledge. Why mathematics should be so successful in this regard rests upon a number of questions concerning the nature of mathematics itself and its relation to the world and to human intelligence. Some mathematicians argue that their subject is a language, that it is, in some sense, universal or that there is great beauty to be found in it. What is clear, in any case, is that mathematics is a rich area of exploration for the TOK student.

Nature of mathematics

Mathematics and the world

Mathematics and knowledge claims

Mathematics and the knower

Natural sciences

The natural sciences reflect a concerted effort on the part of humans to search for understanding of the world. Like any other human endeavour, the development of scientific knowledge forms a web with more practical, even everyday, interests and concerns. The natural sciences are recognized as a model for knowledge owing to many factors, prime among which is their capacity to explain and make precise predictions.

The influence of the natural sciences permeates much of modern life, for example, in the widespread and growing use of technologies. This prominence has led to a wide variety of attitudes towards the nature, scope and value of the natural sciences. Discussion of questions like the ones that follow about scientific methodologies, and the context in which kinds of scientific work take place, raises many knowledge issues.

Nature of the sciences

Natural sciences: Methods of gaining knowledge

Natural sciences and knowledge claims

Natural sciences and values

Natural sciences and technology

Natural sciences: Metaphor and reality

Human sciences

It is the great destiny of human science not to ease man's labour or to prolong his life, noble as these ends may be, nor to serve the ends of power, but to enable man to walk upright without fear in a world he at length will understand and which is his home.

Paul B Sears

It is often said that human behaviour is unpredictable, and that this is what makes it impossible to study humans scientifically. But our everyday interactions depend on the fact that we do, most of the time, think we know how other people will respond to what we say or do. Does the fact that we are sometimes wrong mean that prediction of human behaviour is impossible?

Can human behaviour be studied scientifically? What differences and similarities are there between the human sciences and the natural sciences, in terms of both their methods and procedures for gaining knowledge and the nature of the knowledge produced?

In order to understand conscious behaviour do we have to examine motives, or the meaning of an action for the people involved?

Research in the human sciences often has a relationship to practical matters and concerns. Market research typically aims to increase profits; research in economics may seek to influence public policy. Does such a relationship between research and its context affect its status as science?

Nature of the human sciences

Human sciences: Methods of gaining knowledge

Human sciences and knowledge claims

Human sciences and values

History

History is more or less bunk. It's tradition. We don't want tradition. We want to live in the present and the only history that is worth a tinker's damn is the history we made today.

Henry Ford

Those who cannot remember the past are condemned to repeat it.

George Santayana

Although history is sometimes considered a human science, it is treated separately because, unlike all the other human sciences, or indeed other sciences in general, knowers cannot directly observe the past. This characteristic of history opens up many questions of knowledge that are unique to it.

History reflects an attempt on the part of individuals and communities to understand the temporal nature of human life. “Remembering the past” is never straightforward.

Historiography, that is, a study of the writings of history, is not a study of every event that has occurred, but rather a study of those traces that have been deemed relevant and meaningful by historians. The availability of those traces, and their relevance and meaning, may be influenced in many ways, by factors such as ideology, perspective or purpose. As knowers seek to clarify the past, and to determine whether or not what is claimed is true, they will face problems of reliability and attitudes, and may consider the purpose of historical analysis and the issue of the nature of historical truth. The opportunities for distinctions and interpretations that are culturally driven abound, and invite analysis.

Nature of history

History: Methods of gaining knowledge

History and knowledge claims

History and values

The arts

El arte es una mentira que nos acerca a la verdad.

[Art is a lie that brings us nearer to the truth.]

Pablo Picasso

“The arts” is a very broad field. It is hard to say clearly what it includes; it is even harder to characterize it simply. As used here, the term certainly includes literature, from group 1 of the Diploma Programme, and the various forms in group 6: dance, film, music, theatre and visual arts. The differences between the forms may be at least as interesting as their similarities. For example, how much is there in common between knowing a poem and knowing a dance? Is it entirely clear what “knowing” means in either case?

With one exception, none of the following questions mentions specific works of art. Most of them, however, need relevant cases, or examples, to “come alive”.

Nature of the arts

C’est joli la vie, mais cela n’a pas de forme. L’art a pour objet de lui en donner une…

[Life is very nice but it lacks form. It’s the aim of art to give it some.]

Jean Anouilh

The arts: Methods of gaining knowledge

The arts and knowledge claims

Far from being engaged in opposing or incompatible activities, scientists and artists are both trying to extend our understanding of experience by the use of creative imagination subjected to critical control, and so both are using irrational as well as rational faculties. Both are explaining the unknown and trying to articulate the search and its findings. Both are seekers after truth who make indispensable use of intuition.

Karl Popper

The arts and values

The arts and knowledge perspectives

Ethics

To avoid any evil, to seek the good, to keep the mind pure: this is the essence of the Buddha’s teaching.

Buddha, The Way of Practice

Few areas of the TOK course are concerned with such immediate and personal matters as ethics. Ethics involves a discussion of the way we ought to live our lives, the distinctions between right and wrong, the justification of moral judgments, and the implications of moral actions for the individual and the group. In TOK, the major emphasis is on how we can know or justify what we ought to do. In this sense, an exploration of ethical questions from the point of view of TOK focuses on knowledge issues woven and implied in them, rather than exclusively on the questions themselves.

Nature of ethics

Ethics: Methods of gaining knowledge and knowledge claims

Ethics and knowledge perspectives

Ethics and politics

Ethics and areas of knowledge