The argument in $\S4.3$ is due to refs [1, 8] in $\S$0.0 (my home page).
4.3.1: Heisenberg's uncertainty principle is doubtful
Heisenberg's uncertainty principle is as follows.
$\mbox{(i):}$  The position $x$ of a particle $P$ can be measured exactly. Also similarly, the momentum $p$ of a particle $P$ can be measured exactly. However, the position $x$ and momentum $p$ of a particle $P$ can not be measured simultaneously and exactly, namely, the both errors $\Delta_x$ and $\Delta_p$ can not be equal to $0$. That is, the position $x$ and momentum $p$ of a particle $P$ can be measured simultaneously and approximately, 
(ii):  And, $\Delta_x$ and $\Delta_p$ satisfy Heisenberg's uncertainty principle as follows. \begin{align} \Delta_x \cdot \Delta_p \; {\doteqdot} \; \hbar (= \mbox{Plank constant}/2\pi {\doteqdot} 1.5547 \times 10^{34} Js ). \tag{4.20} \end{align} 
This was discovered by Heisenberg's thought experiment due to $\gamma$ray microscope. It is
$(A):$  one of the most famous statements in the 20th century. 
$\fbox{Note 4.1}$  I think that Heisenberg's uncertainty principle(Proposition 4.10) is meaningless. That is because, for example,
This will be improved in Theorem 4.15 (in $\S$4.3.3) in the framework of quantum mechanics. That is, Heisenberg's thought experimentis an excellent idea before the discovery of quantum mechanics. Some may ask that
And, this slogan was completely successful. This kind of slogan is not rare in the history of science. For example, recall "cogito proposition (due to Descartes)", that is, \begin{align} \mbox{ I think, therefore I am. } \end{align}which is also meaningless (cf. $\S$8.4). However, it is certain that the cogito proposition built the foundation of modern science. 
$\fbox{Note 4.2}$ 
Heisenberg's uncertainty principle (Proposition 4.10) may include
contradiction,
if we think as follows
