diagram. Logistic development
Logistic development (see diagram and for example my text Sociological theory) can explain a difference between a qualitative change and quantitative change. It shows that each kind of so called qualitative change, like for example liquefaction of gas, is just some form of quantitative change. Marxists are using conception of change where quantitative changes transform to qualitative change. But this idea is containing fundamental mistake that there is a difference between qualitative and quantitative change.
What I would like to emphasize is each so called qualitative change, for example the transition of water into ice, or steam into water, is actually a cumulative quantitative change; that is, a quantitative change taking place quickly over a short period of time. So there are no qualitative changes, only quantitative ones (the above part of this paragraph is from year 2008).
The second law of Marx's dialectics is the law of the transformation of quantity into quality. If, for example, we gradually heat water by one degree, at some point it will turn into steam, and this is a qualitative, not quantitative, change. As my analysis shows, this law is incorrect. In fact, this transformation of water into steam is also a quantitative change, only a very rapid one, occurring suddenly through a quantitative leap. Let's look again at diagram (the above part of this paragraph is from year 2025).
Gregory Podgorniak, Poland
about the author, My name is Gregory Podgorniak (brn. 01.1977, Szczecinek, West Pomerania, Poland). I am working on field of natural as well as social sciences. During philosophical studies at Adam Mickiewicz University in Poznan (1996-1999) I was actively act in student scientific organisation, got a scientific scholarship, and one from my articles titled Circulus vitiosus and fourfold petitio principii in the system of Descartes was published in Humanistic Drafts of Publishing House of Humaniora Foundation in Poznan, no. 6, 1998. Unfortunately certain fate events made impossible to me continuing studies to master's and later doctor's degree. Thence I was forced to be content only with a title of bachelor.
Thanks to deep and penetrating researchings I was able to establish indisputably some number of my past incarnations reaching of ancient period, these data are certain, these incarnations are: Auguste Comte (1798-1857) French philosopher and sociologist, Edme Mariotte (1620-1684) French physicist and meteorologist, Aenesidemus (1 st century BC) Greek sceptical philosopher, Arcesilaus (315-241 BC) Greek sceptical philosopher, Gorgias (485-380 BC) Greek sophist.
above text comes from site: Philosophical research
my other works you can find here: Research by Gregory Podgorniak