Published Article / Modern philosophy left us with an unbridgeable divide between factual reality and the domain of values (normativity). This article first of all analyze modal norms, such as the principle of avoiding what is legally excessive. There are distinct but mutually cohering kinds of laws. The distinction between modal laws / norms and type laws / norms required an example from the domain of human society - John Locke and Adam Smith, whose ideas in practice gave birth to trade unionism and labour parties. The idea of an "invisible hand" (manifest in the "free market") operates with exact (natural) laws, such as supply and demand. When modal norms are distinguished from type norms it becomes clear that states and a business enterprises can act uneconomically by wasting their money although they ought to function in a way that is guided by economic considerations of frugality. As an example the well-known natural law of energy-conservation is explained as the embodiment of an analogical link between the physical aspect and the kinematic aspect which should rather be designated as the law of energy-constancy. Finally the problem of normativity is related to the coherence between the logical-analytical aspect and its coherence with the aspects of number and space - focused on the principle of the excluded middle and its implications for diverging schools of thought within twentieth century mathematics. The last subsection concludes with reference to the norms guiding technological developments and with an assessment of the meaning of technology.