Tag Archives: Creative Systems

Shifting the Vantage Point

Looking at a landscape, you don’t see the point from where you are looking. That point is part of the landscape, but to see it, together with the landscape, you have to move somewhere else, to a higher peak maybe or to a helicopter. If you shift your vantage point, you can see the place […]

Kurt Ammon: Informal Physical Reasoning Processes.

Kurt Ammon has just published a new paper “Informal Physical Reasoning Processes”. You can find it on http://arxiv.org/abs/1608.04672. The pdf-version of the paper can be found here: http://arxiv.org/pdf/1608.04672v1.pdf. This is just a preliminary announcement. I am intending to write about this paper and its philosophical implications in more detail in future articles on this blog. The new […]

Knowledge and Total Functions

In the article SKETCH OF A PROOF: COMPUTABLE TOTAL FUNCTIONS ARE NOT ENUMERABLE I have used the notion of “total functions”. What is so special about “total functions”? First, let’s recall what a total function is. A total function is a function that assigns a value to every possible element in its domain (i.e. the set […]

Being and Time

While algorithms are characterized by finite amounts of information, creative systems develop over time, incorporating new information. An algorithm always stays the same, but having a memory means that a creative system grows bit by bit. Although the calculations going on in a system described by an algorithm are processes in time, such a system […]

Preliminary Notes on Semantics

A cognitive system that can be completely described by a formal theory would contain only a fixed and finite amount of information or knowledge. However, a cognitive system can be extensible, i.e. it can reprogram itself, if it is able to take up new information from some source, like the environment, and then use this […]

Creativity and Incompleteness

The concepts of creativity and incompleteness are tightly connected. In a nutshell, a system is creative if every description of it is incomplete. Creativity can be regarded as the ability of a system to produce something new. A “system” in this sense might be an organism, a human being, a culture, an organization, a physical […]

Two Conditions of Extensibility

In my article Changing the Mind I had referred to a certain type of formal theories used within the research paradigm of cognitive science. The argument given there was that theories of cognition formulated in terms of such theories must be incomplete because they can be extended by new information that cannot be derived within the […]