Confirm is the opposite of Deny. Deny is the opposite of Believe. Believe is related to Have. Have is related to Could. 
Scientific is related to Physics. Physics is related to Math. Math is related to Solution. Solution is the opposite of Problem. 
Confirm <--Antonym--> Deny <--Antonym--> Believe <--RelatedTo--> Have <--RelatedTo--> Could 
Scientific <--RelatedTo--> Physics <--RelatedTo--> Math <--RelatedTo--> Solution <--Antonym--> Problem 