By default, without any of the TWF feats, you can choose to two-weapon fight, but the penalties are outrageous. -6 to your main-hand attack and -10 to the off-hand, -4 and -8 if you use a light off-hand. This allows you one off-hand attack only. The TWF feat only reduces the penalties to a manageable level; -2/-2 if you use a light off-hand, -4/-4 otherwise. Then, the ITWF feat allows you a second off-hand attack. You start with one off-hand attack as a given, but must take ITWF to gain a second off-hand.
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Thanks for the answer guys, but I'm not seeing why you couldn't get a Fourth attack without ITWF based on your first sentence. Granted it would be at crazy negatives [Longsword -3/Short Sword -7] but is it possible?