I'm posting you the sentences I'm most dubtful about. I included my doubts in parentheses.
1) Despite his victorious military campaigns Cromwell introduced unpopular restrictions on everyday life, such as, for example, the closing (?) of the theatres for their supposed immorality in 1642.
2) Copernicus’s scientific discoveries were then supported by Galileo Galilei and Johannes Kepler, who contributed to putting forward a new model of the universe.
3) Like the new science, philosophy rejected the old deductive method in favour of the inductive method, according to which (?) general truths resulted from particular facts.
4) This meant that sense experience became more important in the (? is "the" necessary?) establishing the truth than traditionally accepted ideas.
5)A witch-hunt was organized (?) first in Denmark then in Scotland to find the witches, who had attempted James's and Anne's lives.
1. comma needed
delete "for example" and two commas before "the closing"
2. Copernicus' (no need for the extra "s" on a multi-syllable word)
3. OK
4. sense = ??
No, "the" is not needed.
5. comma after "organized" and "Denmark"
I don't understand "had attempted ... lives"
5. comma after "Scotland" too
1) Despite his victorious military campaigns, Cromwell introduced unpopular restrictions on everyday life, such as, for example, the closing of the theaters for their supposed immorality in 1642.
Explanation: The sentence is correct. It states that Cromwell introduced unpopular restrictions on everyday life, one of which was the closing of theaters in 1642 due to their supposed immorality.
2) Copernicus's scientific discoveries were then supported by Galileo Galilei and Johannes Kepler, who contributed to putting forward a new model of the universe.
Explanation: The sentence is correct. It mentions that Copernicus's scientific discoveries were supported by Galileo Galilei and Johannes Kepler, both of whom played a role in developing a new model of the universe.
3) Like the new science, philosophy rejected the old deductive method in favor of the inductive method, according to which general truths resulted from particular facts.
Explanation: The sentence is correct. It states that philosophy, like the new science, rejected the old deductive method and embraced the inductive method, which holds that general truths are derived from particular facts.
4) This meant that sense experience became more important in establishing the truth than traditionally accepted ideas.
Explanation: The sentence is correct. It suggests that with the change to the inductive method, sense experience gained importance in determining the truth, surpassing traditionally accepted ideas.
5) A witch-hunt was organized first in Denmark, then in Scotland, to find the witches who had attempted James's and Anne's lives.
Explanation: The sentence is correct. It states that witch-hunts were organized first in Denmark and then in Scotland with the purpose of identifying and pursuing witches who allegedly tried to harm James and Anne.