Confusion on additional classes

[Anova]

Yes. You can level all classes and jobs to 50. For every class, you will be able to allocate its own set of attribute points (30 str on pugilist and 30 int on thaumaturge).

You are in fact encouraged to level multiple classes on the same character. You gain a 50% xp boost to level any alternate combat classes (except your highest level one), and you can freely utilize cross-class skills you learn from other classes to create a custom ability list (putting 'cure' from conjurer on your thaum is a good example). Just keep in mind not all abilities can be put on other classes, and some are only allowed for specific jobs/classes. Refer to the ability description's 'affinity' section for the full list of classes able to use that ability.