For everyone's viewing pleasure, Here is a link that compiles a great number of quotes from historical calvinists who do not see a problem holding to Unconditional Election and offering God's salvation to anyone and everyone:
http://www.oldtruth.com/calvinism/gospeloffercalvinists.html
I will note that most simply hold the two truths in tandem, without trying to reconcile them. One notable exception is Alexander Hodges, who says,
I have personally not heard that explanation before...
http://www.oldtruth.com/calvinism/gospeloffercalvinists.html
I will note that most simply hold the two truths in tandem, without trying to reconcile them. One notable exception is Alexander Hodges, who says,
The gospel is for all, election is a special grace in addition to that offer. The non-elect may come if they will. The elect will come. The decree of election puts no barrier before men preventing them from accepting the gospel offer. Any man, elect or non elect, will be saved if he accepts. The non-elect are left to act as they are freely determined by their own hearts.
I have personally not heard that explanation before...