Is the derivative of a function at a rational point always rational or irrational?

Sep 5, 2020 ... In short: given that we can't believe that our own beliefs are irrational, the irrationalist explanation of polarization falls apart. Suppose ... Sep 4, 2024 ... ... is contingent on the presence of a sufficient number of rational players. ... of rational to irrational players varies. Finally, in Ref. [50] Consider the type of text (literary or informational) ... knowledge of integers and the number line to comparing and exploring the relationships between rational ... • The rubric shows you what is needed to produce a strong piece of informational/explanatory writing . ... Use rational approximation of irrational numbers to ... (ii) fads and fashions may arise in the use of different kinds of information; ... sion of opinion among rational arbitrageurs concerning the timing of the bubble ... Apr 9, 2018 ... They are not irrational, but systematically misinformed about where to place their trust. Notice how different what's going on here is from ... Aug 13, 2022 ... ... of rationality is foreign to the standard view of rational choice ... This paper also cannot discuss the difference between “bias” and what ... ... of informational text ... Compare relative magnitudes of rational and irrational numbers, and understand that numbers can be represented in different ways. As we shall see, they build upon different rationality frameworks and what is more, on many additional modelling assumptions whose consequences are difficult to ... ... rational but informationless trading that distorts the information content of share prices. ... consider a sharp increase in the number of individual investors in ...