Yes: you draw your one card for the turn normally, then Sylvan Library's ability goes on the stack, and you respond twice by activating Words of War's ability. This way, WoW deals 4 damage (2 instances of 2 damage, you can choose 2 different targets) instead of you drawing 2 cards and, since you didn't draw any card for Sylvan Library's ability, its "if you do" condition is false and you ignore the rest of the ability.
This part of this answer is incorrect. When a card says "You may {do something}. If you do...", the "if you do" means "if you chose the option '{do something}'", regardless of what may have actually happened as a result of you making that choice.
This means that if you choose to use Sylvan Library's ability--Words of War or not--you will be forced to choose two cards in your hand that were drawn this turn (as many as possible, if there's less than two), and then you must pay life for each of those cards you want to keep. Even if the only card in your hand that was drawn this turn was your normal draw for the turn, you're still going to have to pay life if you want to keep it.
The rules team would likely adjust the rules as needed to prevent the above from happening, particularly if the ruling made suspending a card weird.
I imagine Natedogg consulted the two Rules Managers (Matt and Eli) who contacted the rest of them and they hashed it out before deciding on what Nathan posted.
You're vastly overestimating the amount of time Wizards devotes to corner-cases. Half the point of there being a NetRep position is that the rules manager generally has way, way better things to do than care about cards like Dominating Licid, much less hash out corner cases involving them.
In the incredibly unlikely scenario that the fine distinction between activating mana abilities while performing these kinds of special actions versus doing so when you have priority actually becomes significantly relevant in sanctioned tournament play, then you can expect consultations and potential rules changes to achieve desired outcomes. (Witness Courser of Kruphix and Dig Through Time.)
A single activation of Pyromancer's Goggles creates one single delayed triggered ability that will only ever trigger once, no matter how much mana that activation produced or how it's spent.
It's important to remember that Gatherer rulings are written informally, with an eye towards being as broadly useful as possible. As such, they tend to gloss over or ignore corner cases entirely. The ruling that's being brought up here is talking about what happens in the relatively common cases where you use multiple Goggles or untap a single Goggles to use it multiple times--it's not meant to be applied to interactions with Mana Reflection, which is absolutely a corner case.
The Declare Attackers step is still completed even if no attackers are declared--it's just the Declare Blockers and Combat Damage steps that are skipped.
Blocker order should probably be mentioned.
The ordering is inconsistent between the two combat damage steps--the normal combat damage step has damage happening after triggers.
"Until end of combat" effects don't end until the combat phase is entirely over--this makes it seem like they end at the beginning of the end of combat step instead.
"At end of turn" triggers don't exist any more--there's just "at the beginning of [the] end step".
Absolutely. If he didn't use Lili's ability right away, but passed priority to you, you have a chance to use your Bolt. You don't even have to wait until the combat phase begins if you like, since you'll get priority at least once before the main phase ends.
The ability's cost tells you to sacrifice a creature. While there are circumstances under which Tymaret is indeed a creature on the battlefield, that doesn't mean the ability is specifying that Tymaret in particular is changing zones--specifying a class of objects to which one particular object might belong is not the same as specifying that specific object.
You also can't activate Hisoka, Minamo Sensei's ability while it's in your hand to counter something using its own ability, for the exact same reason.
They care about the subtype, so they'll just tap for 1. "Urza's", "Tower", "Mine", and "Power-Plant" are all land types, and that's what their abilities look for.
If they were looking for the name, they would say "if you control a land named {} and a land named {}, ..."
Fighting has nothing to do with the combat phase. As such, abilities that modify the rules of combat don't affect fighting in any way. Flying, first strike, trample, landwalk, double strike, intimidate, defender, reach, vigilance--none of that matters in a fight.
Lifelink and deathtouch, however, do matter in a fight, because they aren't limited to affecting damage dealt during combat--they affect all damage the creature deals, including the damage it deals in a fight.
Both Path of Bravery and Geist of Saint Traft's abilities trigger at the same time. Since you control both, you choose the order in which they're put onto the stack relative to each other, which means you choose which happens first.
If you make the Path's trigger resolve first, you'll gain 1 life before you get the Angel.
If you make the Geist's trigger resolve first, you'll get your Angel, and then gain 2 life.
So you'll probably want to have the Geist's trigger resolve first.
Yes, absolutely. As you just said, you cast Midnight Haunting, so your Pyromancer's ability triggers.
The fact that your opponent countered the Haunting after you cast it doesn't mean it was never cast, for the same reason than your opponent Doom Bladeing one of your creatures doesn't mean it never entered the battlefield.
Since you're not paying the mana cost, there's no mana requirement to pay. You can't tap creatures to pay a cost if there's no cost to pay in the first place.
Unless there's something like Thalia, Guardian of Thraben out forcing you to pay mana, you won't be able to tap your creatures--even if there is, you'll only be able to tap a number equal to the amount of additional mana you needed to pay.
Yes. You're missing the fact that your Vesuva enters the battlefield as a copy of Dark Depths, and will enter with ten ice counters on it for the same reason the original did. No Marit Lage token for you.
This means that if you choose to use Sylvan Library's ability--Words of War or not--you will be forced to choose two cards in your hand that were drawn this turn (as many as possible, if there's less than two), and then you must pay life for each of those cards you want to keep. Even if the only card in your hand that was drawn this turn was your normal draw for the turn, you're still going to have to pay life if you want to keep it.
In the incredibly unlikely scenario that the fine distinction between activating mana abilities while performing these kinds of special actions versus doing so when you have priority actually becomes significantly relevant in sanctioned tournament play, then you can expect consultations and potential rules changes to achieve desired outcomes. (Witness Courser of Kruphix and Dig Through Time.)
It's important to remember that Gatherer rulings are written informally, with an eye towards being as broadly useful as possible. As such, they tend to gloss over or ignore corner cases entirely. The ruling that's being brought up here is talking about what happens in the relatively common cases where you use multiple Goggles or untap a single Goggles to use it multiple times--it's not meant to be applied to interactions with Mana Reflection, which is absolutely a corner case.
Blocker order should probably be mentioned.
The ordering is inconsistent between the two combat damage steps--the normal combat damage step has damage happening after triggers.
"Until end of combat" effects don't end until the combat phase is entirely over--this makes it seem like they end at the beginning of the end of combat step instead.
"At end of turn" triggers don't exist any more--there's just "at the beginning of [the] end step".
A card that's double-faced cannot be turned face-down.
The ability's cost tells you to sacrifice a creature. While there are circumstances under which Tymaret is indeed a creature on the battlefield, that doesn't mean the ability is specifying that Tymaret in particular is changing zones--specifying a class of objects to which one particular object might belong is not the same as specifying that specific object.
You also can't activate Hisoka, Minamo Sensei's ability while it's in your hand to counter something using its own ability, for the exact same reason.
If they were looking for the name, they would say "if you control a land named {} and a land named {}, ..."
Lifelink and deathtouch, however, do matter in a fight, because they aren't limited to affecting damage dealt during combat--they affect all damage the creature deals, including the damage it deals in a fight.
If you make the Path's trigger resolve first, you'll gain 1 life before you get the Angel.
If you make the Geist's trigger resolve first, you'll get your Angel, and then gain 2 life.
So you'll probably want to have the Geist's trigger resolve first.
The fact that your opponent countered the Haunting after you cast it doesn't mean it was never cast, for the same reason than your opponent Doom Bladeing one of your creatures doesn't mean it never entered the battlefield.
Unless there's something like Thalia, Guardian of Thraben out forcing you to pay mana, you won't be able to tap your creatures--even if there is, you'll only be able to tap a number equal to the amount of additional mana you needed to pay.