Final answer:
Positivism advocates for solely observable and experimentally tested theories, but it can restrict scientific progress. The development of quantum mechanics and the discovery of elemental particles, such as electrons and quarks, showcase the importance of hypothesis and speculation in science.
Step-by-step explanation:
The question addresses the debate on the guiding principles of scientific discovery, particularly positivism versus hypothesizing and speculating about unobserved phenomena. Positivism, which posits that scientific theories must be experimentally tested and should only deal with observable quantities, has been criticized by figures like Steven Weinberg for potentially hindering scientific progress.
Weinberg argues that forming hypotheses beyond immediate observations is crucial for directing research. The history of physics supports this claim, as quantum mechanics and the discovery of particles like electrons and quarks required scientists to make bold conjectures.
Examples of such scientific leaps include Werner Heisenberg's uncertainty principle, which challenges the idea of precise measurement within quantum mechanics, and P.A.M. Dirac's prediction of antiparticles such as the positron. This illustrates that, while traditional experimental evidence is essential, so is the role of imagination and speculation in progressing scientific understanding and discovery.